Pith Number

pith:PCALEBW5

pith:2006:PCALEBW57SY2ANT2X6FQDSN32K

not attested not anchored not stored refs pending

The first laws of thermodynamics of the (2+1)-dimensional BTZ black holes and Kerr-de Sitter spacetimes

Dan Lin, Wang Shuang, Wu Shuang-Qing, Xie Fei

arxiv:hep-th/0601147 v3 · 2006-01-20 · hep-th · gr-qc

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCALEBW57SY2ANT2X6FQDSN32K}

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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

Notes on solution phase space and BTZ black hole

Receipt and verification

First computed	2026-07-04T14:52:45.103063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7880b206ddfcb1a0367abf8b01c9bbd2a06c1c1d1b5dd1d13a3849b66618b02c

Aliases

arxiv: hep-th/0601147 · arxiv_version: hep-th/0601147v3 · doi: 10.48550/arxiv.hep-th/0601147 · pith_short_12: PCALEBW57SY2 · pith_short_16: PCALEBW57SY2ANT2 · pith_short_8: PCALEBW5

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/PCALEBW57SY2ANT2X6FQDSN32K \
  | 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: 7880b206ddfcb1a0367abf8b01c9bbd2a06c1c1d1b5dd1d13a3849b66618b02c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4c18bf34155684e127a83f026b0693bf9d8aae638e1f570ad118d461bea92ea",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-01-20T09:21:58Z",
    "title_canon_sha256": "a217db8134702861cda46f451b2d50f0de68e46d892b20bed194b4bb44f69ba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0601147",
    "kind": "arxiv",
    "version": 3
  }
}