Pith Number

pith:J4HGGPIC

pith:1994:J4HGGPICSQZTW54OOSWVXICGCQ

not attested not anchored not stored refs pending

Entropy generation in 2+1-dimensional Gravity

Benni Reznik, Francois Englert

arxiv:gr-qc/9401010 v2 · 1994-01-11 · 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{J4HGGPICSQZTW54OOSWVXICGCQ}

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	2026-05-18T04:37:57.331268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f0e633d0294333b778e74ad5ba04614038628ba07473d7f927a7ba459de2428

Aliases

arxiv: gr-qc/9401010 · arxiv_version: gr-qc/9401010v2 · doi: 10.48550/arxiv.gr-qc/9401010 · pith_short_12: J4HGGPICSQZT · pith_short_16: J4HGGPICSQZTW54O · pith_short_8: J4HGGPIC

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/J4HGGPICSQZTW54OOSWVXICGCQ \
  | 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: 4f0e633d0294333b778e74ad5ba04614038628ba07473d7f927a7ba459de2428

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd1ca8080fe764cf09165cb09e20cd5d003fa12e59673c8b35122f764bdd9d47",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1994-01-11T17:27:28Z",
    "title_canon_sha256": "5ba84408b113e9a923f1145d656fa58d59bcb01e894bd4738d7a2b5c7c0ca8b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9401010",
    "kind": "arxiv",
    "version": 2
  }
}