Pith Number

pith:3XICR62L

pith:1996:3XICR62LWMYFSLS7F2JR4SK7RU

not attested not anchored not stored refs pending

Problems in Black Hole Entropy interpretation

S. Liberati

arxiv:gr-qc/9601032 v1 · 1996-01-22 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XICR62LWMYFSLS7F2JR4SK7RU}

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	2026-07-04T14:26:04.079657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddd028fb4bb330592e5f2e931e495f8d042bf2e9af19240b80104610f57294f0

Aliases

arxiv: gr-qc/9601032 · arxiv_version: gr-qc/9601032v1 · doi: 10.48550/arxiv.gr-qc/9601032 · pith_short_12: 3XICR62LWMYF · pith_short_16: 3XICR62LWMYFSLS7 · pith_short_8: 3XICR62L

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/3XICR62LWMYFSLS7F2JR4SK7RU \
  | 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: ddd028fb4bb330592e5f2e931e495f8d042bf2e9af19240b80104610f57294f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9699025a24bb1988c1809e8dd40c2c576d6139515ae785ce3beaa47746aa9a18",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-01-22T16:22:39Z",
    "title_canon_sha256": "6f8a45b5b421a6cb1ce9d831b16f8ece25f9f96604ae32090b04883b9f194d4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9601032",
    "kind": "arxiv",
    "version": 1
  }
}