Pith Number

pith:FYQJCYUR

pith:2013:FYQJCYUR2KKULJIGLRUH6FMM6E

not attested not anchored not stored refs pending

BTZ Black Hole Entropy and the Turaev-Viro model

Karim Noui, Marc Geiller

arxiv:1312.1696 v1 · 2013-12-05 · 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{FYQJCYUR2KKULJIGLRUH6FMM6E}

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	2026-05-18T02:28:48.091259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e20916291d29545a5065c687f158cf103406435ad455ee841ffd5a17ebc3266

Aliases

arxiv: 1312.1696 · arxiv_version: 1312.1696v1 · doi: 10.48550/arxiv.1312.1696 · pith_short_12: FYQJCYUR2KKU · pith_short_16: FYQJCYUR2KKULJIG · pith_short_8: FYQJCYUR

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/FYQJCYUR2KKULJIGLRUH6FMM6E \
  | 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: 2e20916291d29545a5065c687f158cf103406435ad455ee841ffd5a17ebc3266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbb4a5af0c30e83d1c4313c2d7548bae6d84c5dee90961a10b8b6d68aa4e0885",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-12-05T21:00:06Z",
    "title_canon_sha256": "4587c1e2f6e61534440ec53cdb067c1762e1bddc04c2c821d5f104e850298677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1696",
    "kind": "arxiv",
    "version": 1
  }
}