Pith Number

pith:RJFH36UU

pith:2012:RJFH36UUNKX6CGGX5ISACTIJ4B

not attested not anchored not stored refs pending

Thermodynamics, geometrothermodynamics and critical behavior of (2+1)-dimensional black holes

Gang Chen, YiWen Han

arxiv:1207.5626 v1 · 2012-07-24 · 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{RJFH36UUNKX6CGGX5ISACTIJ4B}

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	2026-05-18T01:56:08.562045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a4a7dfa946aafe118d7ea24014d09e0546cdcc6e4bcc3af574851fd7b269f0b

Aliases

arxiv: 1207.5626 · arxiv_version: 1207.5626v1 · doi: 10.48550/arxiv.1207.5626 · pith_short_12: RJFH36UUNKX6 · pith_short_16: RJFH36UUNKX6CGGX · pith_short_8: RJFH36UU

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/RJFH36UUNKX6CGGX5ISACTIJ4B \
  | 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: 8a4a7dfa946aafe118d7ea24014d09e0546cdcc6e4bcc3af574851fd7b269f0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f67841853d7dc94cab3df4fda1a58e00d4f055266b82eef1454f036fab0b9085",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-24T09:04:54Z",
    "title_canon_sha256": "9b044bd487c1ca008832b55a448460d201e1ae6b834bdb876041b4c352c35f96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5626",
    "kind": "arxiv",
    "version": 1
  }
}