Pith Number

pith:M66IY5YU

pith:2026:M66IY5YUHJ4GYIIUU43EUO7UZ4

not attested not anchored not stored refs pending

Uncovering Hierarchical Sub-Population of Binary Black Holes

Muhammad Zeeshan, Richard O'Shaughnessy

arxiv:2607.15431 v1 · 2026-07-16 · astro-ph.HE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M66IY5YUHJ4GYIIUU43EUO7UZ4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-20T00:18:33.256221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67bc8c77143a786c2114a7364a3bf4cf14e5996dc2695ad3e97b03a72e030c67

Aliases

arxiv: 2607.15431 · arxiv_version: 2607.15431v1 · doi: 10.48550/arxiv.2607.15431 · pith_short_12: M66IY5YUHJ4G · pith_short_16: M66IY5YUHJ4GYIIU · pith_short_8: M66IY5YU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/M66IY5YUHJ4GYIIUU43EUO7UZ4 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 67bc8c77143a786c2114a7364a3bf4cf14e5996dc2695ad3e97b03a72e030c67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37ab2568795e469e2be1f6774887fb338c91d102343bdaf521234983c45293d7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2026-07-16T20:05:37Z",
    "title_canon_sha256": "3d0809a2c38b52bd0283047dd6ad0fefec3c9a3d86dc7507c30d1363a1dedc30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15431",
    "kind": "arxiv",
    "version": 1
  }
}