Pith Number

pith:4J6MOOHR

pith:2013:4J6MOOHRBEEZ655OXVHIVFSU53

not attested not anchored not stored refs pending

Black Hole Universe: Time Evolution

Chul-Moon Yoo, Hirotada Okawa, Ken-ichi Nakao

arxiv:1306.1389 v2 · 2013-06-06 · gr-qc · 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{4J6MOOHRBEEZ655OXVHIVFSU53}

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	2026-05-18T03:08:37.299048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27cc738f109099f77aebd4e8a9654eee20403740cd58640dcc97f9a103108ad

Aliases

arxiv: 1306.1389 · arxiv_version: 1306.1389v2 · doi: 10.48550/arxiv.1306.1389 · pith_short_12: 4J6MOOHRBEEZ · pith_short_16: 4J6MOOHRBEEZ655O · pith_short_8: 4J6MOOHR

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/4J6MOOHRBEEZ655OXVHIVFSU53 \
  | 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: e27cc738f109099f77aebd4e8a9654eee20403740cd58640dcc97f9a103108ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eb2c5ae812d500ae6ae28fb91fcaa05347d77dc4784ef02133e4f8fede0c5d3",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-06-06T12:19:28Z",
    "title_canon_sha256": "39512fa288c6bf934bb6ed3adffad54da9345b4b5e6aa98e62ad570c2c546234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1389",
    "kind": "arxiv",
    "version": 2
  }
}