Pith Number

pith:3ZM5Z4DA

pith:1996:3ZM5Z4DATOSQZSZWI74TYTZNHR

not attested not anchored not stored refs pending

Entropy of the BTZ Black Hole in 2+1 Dimensions

Hyeonjoon Shin, Sung-Won Kim, Won T. Kim, Young-Jai Park

arxiv:hep-th/9603043 v2 · 1996-03-08 · 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{3ZM5Z4DATOSQZSZWI74TYTZNHR}

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.

Cited by

1 paper in Pith

Noncommutativity and the Weak Cosmic Censorship

Receipt and verification

First computed	2026-07-04T16:02:05.228719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de59dcf0609ba50ccb3647f93c4f2d3c66be284c0122027ce22985183cc9ff18

Aliases

arxiv: hep-th/9603043 · arxiv_version: hep-th/9603043v2 · doi: 10.48550/arxiv.hep-th/9603043 · pith_short_12: 3ZM5Z4DATOSQ · pith_short_16: 3ZM5Z4DATOSQZSZW · pith_short_8: 3ZM5Z4DA

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/3ZM5Z4DATOSQZSZWI74TYTZNHR \
  | 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: de59dcf0609ba50ccb3647f93c4f2d3c66be284c0122027ce22985183cc9ff18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd964ecc23fa9cd916e621db16a3d51ae98b8311727f8bc298473235340d312c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1996-03-08T05:06:04Z",
    "title_canon_sha256": "20580eff016b199d54bd07b2316e008c3195098c4108fae8f0fa52b98347d508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9603043",
    "kind": "arxiv",
    "version": 2
  }
}