Pith Number

pith:3I22PD5X

pith:2011:3I22PD5XKRMT7UQAU27DD4WZJB

not attested not anchored not stored refs pending

Clustering of Primordial Black Holes. II. Evolution of Bound Systems

James R. Chisholm

arxiv:1110.4402 v1 · 2011-10-19 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3I22PD5XKRMT7UQAU27DD4WZJB}

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	2026-05-18T02:00:08.291268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da35a78fb754593fd200a6be31f2d9485ae4cbcd530a8c51cc7e32804e1f035b

Aliases

arxiv: 1110.4402 · arxiv_version: 1110.4402v1 · doi: 10.48550/arxiv.1110.4402 · pith_short_12: 3I22PD5XKRMT · pith_short_16: 3I22PD5XKRMT7UQA · pith_short_8: 3I22PD5X

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/3I22PD5XKRMT7UQAU27DD4WZJB \
  | 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: da35a78fb754593fd200a6be31f2d9485ae4cbcd530a8c51cc7e32804e1f035b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef8c00854c649a5f655b8eb7e480ef4c230aee121ad6d98c5c88b2b6a0908fb1",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-10-19T21:12:59Z",
    "title_canon_sha256": "ecad124b5583f71689002bfd7aa09bcbb1b71933c8b1f369f3df125484d94317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4402",
    "kind": "arxiv",
    "version": 1
  }
}