Pith Number

pith:4T53LAUE

pith:1996:4T53LAUEEUIUDYDGYYGZKZNRVY

not attested not anchored not stored refs pending

Black Hole Entropy in the Chern-Simons Formulation of 2+1 Gravity

Andres Gomberoff, Maximo Banados

arxiv:gr-qc/9611044 v2 · 1996-11-14 · 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{4T53LAUEEUIUDYDGYYGZKZNRVY}

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	2026-05-18T04:13:47.639534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4fbb58284251141e066c60d9565b1ae11ec8c9d118ed4313dffe454ca5e823c

Aliases

arxiv: gr-qc/9611044 · arxiv_version: gr-qc/9611044v2 · doi: 10.48550/arxiv.gr-qc/9611044 · pith_short_12: 4T53LAUEEUIU · pith_short_16: 4T53LAUEEUIUDYDG · pith_short_8: 4T53LAUE

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/4T53LAUEEUIUDYDGYYGZKZNRVY \
  | 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: e4fbb58284251141e066c60d9565b1ae11ec8c9d118ed4313dffe454ca5e823c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0531b93cb848484275701a08e07919a88e773d15e78b1026ae7670c4612a4e1",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-11-14T21:32:08Z",
    "title_canon_sha256": "df256cf7de7316dac0b589936177e4980e956caed807dc8b35633dc0d5c67076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9611044",
    "kind": "arxiv",
    "version": 2
  }
}