Pith Number

pith:PZMZDPAD

pith:2017:PZMZDPADQIVI2MK7DWEUD7Q52J

not attested not anchored not stored refs pending

Smarr formula for BTZ black holes in general three-dimensional gravity models

Baocheng Zhang, Chao Liang, Li Gong

arxiv:1701.03223 v1 · 2017-01-12 · 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{PZMZDPADQIVI2MK7DWEUD7Q52J}

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	2026-05-18T00:52:58.187719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e5991bc03822a8d315f1d8941fe1dd27259c14296ddde845bbeae9c7d090315

Aliases

arxiv: 1701.03223 · arxiv_version: 1701.03223v1 · doi: 10.48550/arxiv.1701.03223 · pith_short_12: PZMZDPADQIVI · pith_short_16: PZMZDPADQIVI2MK7 · pith_short_8: PZMZDPAD

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/PZMZDPADQIVI2MK7DWEUD7Q52J \
  | 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: 7e5991bc03822a8d315f1d8941fe1dd27259c14296ddde845bbeae9c7d090315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "138e8d829f284b1e4f0cbd6313cb4130fb2238b6c1e06e8b2529e02d814cbb82",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-01-12T03:50:15Z",
    "title_canon_sha256": "2bd6572aeff7b0adcc4d84ce0606d243b12f815e90c6bcf91fcdb93d00f44ff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03223",
    "kind": "arxiv",
    "version": 1
  }
}