Pith Number

pith:ZEYHATTL

pith:2005:ZEYHATTLWHVN2PRGC7ZAI4G7XW

not attested not anchored not stored refs pending

Thermodynamic Geometry and Critical Behavior of Black Holes

Bin Wang, Jianyong Shen, Rong-Gen Cai, Ru-Keng Su

arxiv:gr-qc/0512035 v1 · 2005-12-06 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZEYHATTLWHVN2PRGC7ZAI4G7XW}

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	2026-05-18T01:06:45.357824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c930704e6bb1eadd3e2617f20470dfbd8c04807a9dbbc97a63ef4d6610853e17

Aliases

arxiv: gr-qc/0512035 · arxiv_version: gr-qc/0512035v1 · doi: 10.48550/arxiv.gr-qc/0512035 · pith_short_12: ZEYHATTLWHVN · pith_short_16: ZEYHATTLWHVN2PRG · pith_short_8: ZEYHATTL

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/ZEYHATTLWHVN2PRGC7ZAI4G7XW \
  | 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: c930704e6bb1eadd3e2617f20470dfbd8c04807a9dbbc97a63ef4d6610853e17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f49541e00a01bfd77820cff095061d7ab3e976888e7310f106d8bda9c0e8ee03",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-12-06T03:55:12Z",
    "title_canon_sha256": "da5870bfba432b75b1dc17bb49fa28e6dade28b8c86727afc399aa20999da163"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0512035",
    "kind": "arxiv",
    "version": 1
  }
}