Pith Number

pith:NID2BAHW

pith:2005:NID2BAHWWBIUSFKWGRCKB322WT

not attested not anchored not stored refs pending

Thermodynamics of modified black holes from gravity's rainbow

Hongbao Zhang, Xiang Li, Yi Ling

arxiv:gr-qc/0512084 v1 · 2005-12-14 · 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{NID2BAHWWBIUSFKWGRCKB322WT}

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

Rainbow McVittie Horizons in an Expanding Universe

Receipt and verification

First computed	2026-07-04T15:22:22.487114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a07a080f6b0514915563444a0ef5ab4fbf974b1e1d654e9afd916b7da5b81c3

Aliases

arxiv: gr-qc/0512084 · arxiv_version: gr-qc/0512084v1 · doi: 10.48550/arxiv.gr-qc/0512084 · pith_short_12: NID2BAHWWBIU · pith_short_16: NID2BAHWWBIUSFKW · pith_short_8: NID2BAHW

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/NID2BAHWWBIUSFKWGRCKB322WT \
  | 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: 6a07a080f6b0514915563444a0ef5ab4fbf974b1e1d654e9afd916b7da5b81c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6985bfc63de5223db904df3c150796bdd2faa4a9edcaa72cd57b7f075093d494",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-12-14T13:15:41Z",
    "title_canon_sha256": "85a981e16c5271f8bf708924e690e4efd95ae0fec50d7762d6b127a1cefb46ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0512084",
    "kind": "arxiv",
    "version": 1
  }
}