How is magnet based bead capture used for indexing-first ChIP-seq?
The anti-H3 antibody will precipitate all chromatin. They could have used an antibody against any histone monomer; that they initially used anti-H3 and then later used anti-H3K4me3 is coincidental. The idea behind the first immunoprecipitation is to immobilize the chromatin on the beads to allow easy recovery of pure chromatin after each step of the indexing process. These steps are seen in the supplementary material (4. Chromatin Indexing). For example, after immobilization, they perform end repair using specific buffers and T4 polymerase and polynucleotide kinase. These enzymes must be removed and the buffer exchanged before the subsequent indexing. The beads facilitate this process.