Pith Number

pith:GKURNSJP

pith:2015:GKURNSJPG37OKYLLRQP4UD47IL

not attested not anchored not stored refs pending

Entropy spectrum of the apparent horizon of Vaidya black holes via adiabatic invariance

Ge-Rui Chen, Yong-Chang Huang

arxiv:1507.07640 v1 · 2015-07-28 · 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{GKURNSJPG37OKYLLRQP4UD47IL}

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	2026-05-18T01:19:02.124114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a916c92f36fee5616b8c1fca0f9f42e9f0e5172d0f8679108a97d3a815157f

Aliases

arxiv: 1507.07640 · arxiv_version: 1507.07640v1 · doi: 10.48550/arxiv.1507.07640 · pith_short_12: GKURNSJPG37O · pith_short_16: GKURNSJPG37OKYLL · pith_short_8: GKURNSJP

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/GKURNSJPG37OKYLLRQP4UD47IL \
  | 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: 32a916c92f36fee5616b8c1fca0f9f42e9f0e5172d0f8679108a97d3a815157f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f11bf9a8fa0c382765e1ff6924725b0de00f853938fa0b2c2eaed2ef4a3f97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-07-28T04:52:23Z",
    "title_canon_sha256": "41189212d0fbc0abc012512d4ea34e3b2525d2b9f3c8922b4c6ee301d6467162"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07640",
    "kind": "arxiv",
    "version": 1
  }
}