Pith Number

pith:YPYZTO2C

pith:2014:YPYZTO2CJR57MSIDMLYDLM7JT5

not attested not anchored not stored refs pending

Primordial Black Hole Clusters and their Evolution

M.Yu. Khlopov, N.A. Chasnikov

arxiv:1401.1643 v1 · 2014-01-08 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPYZTO2CJR57MSIDMLYDLM7JT5}

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.

Cited by

1 paper in Pith

Smoluchowski Coagulation Equation and the Evolution of Primordial Black Hole Clusters

Receipt and verification

First computed	2026-05-18T03:02:58.266430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3f199bb424c7bf6490362f035b3e99f555e64cd58289ea5335b1048e86cdc4c

Aliases

arxiv: 1401.1643 · arxiv_version: 1401.1643v1 · doi: 10.48550/arxiv.1401.1643 · pith_short_12: YPYZTO2CJR57 · pith_short_16: YPYZTO2CJR57MSID · pith_short_8: YPYZTO2C

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/YPYZTO2CJR57MSIDMLYDLM7JT5 \
  | 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: c3f199bb424c7bf6490362f035b3e99f555e64cd58289ea5335b1048e86cdc4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a8b5e8518ca18349b0a707a113a73aa5d070b6c34fa04f5c6433564c4b3a672",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2014-01-08T10:16:12Z",
    "title_canon_sha256": "da905330a94fcc4738ad6810cd5191af7d711794820f2c8da57e65c88f4cb161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1643",
    "kind": "arxiv",
    "version": 1
  }
}