Pith Number

pith:GE7B64L2

pith:2025:GE7B64L2UGJBUZSLNGJC2MOGVA

not attested not anchored not stored refs pending

Primordial Black Holes as Coma Cluster Dark Matter and the Unresolved {\gamma}-Ray Background

Bhashin Thakore, Jeremy Mould

arxiv:2507.01421 v1 · 2025-07-02 · astro-ph.HE · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GE7B64L2UGJBUZSLNGJC2MOGVA}

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	2026-07-05T11:31:47.219017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

313e1f717aa1921a664b69922d31c6a80e033581bd2ff1181975d43b469084af

Aliases

arxiv: 2507.01421 · arxiv_version: 2507.01421v1 · doi: 10.48550/arxiv.2507.01421 · pith_short_12: GE7B64L2UGJB · pith_short_16: GE7B64L2UGJBUZSL · pith_short_8: GE7B64L2

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/GE7B64L2UGJBUZSLNGJC2MOGVA \
  | 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: 313e1f717aa1921a664b69922d31c6a80e033581bd2ff1181975d43b469084af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "463965d8e071f0109347433981cbc4a6dc81585506dcf040fc897a7b2459dca5",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.GA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2025-07-02T07:21:15Z",
    "title_canon_sha256": "94724d213db1425c0e90a94aa1ba5b8a6bc1867b85a84998c8ea901783b3c71e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01421",
    "kind": "arxiv",
    "version": 1
  }
}