Pith Number

pith:M7B7Z3H7

pith:2009:M7B7Z3H7WLLNFAFNSWB4LECINX

not attested not anchored not stored refs pending

Entropy of Isolated Horizons revisited

Parthasarathi Majumdar, Romesh K. Kaul, Rudranil Basu

arxiv:0907.0846 v3 · 2009-07-05 · 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{M7B7Z3H7WLLNFAFNSWB4LECINX}

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	2026-05-18T02:34:39.082946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67c3fcecffb2d6d280ad9583c590486ddcbe7cabc8cb9c1cfe5f5e908bba0448

Aliases

arxiv: 0907.0846 · arxiv_version: 0907.0846v3 · doi: 10.48550/arxiv.0907.0846 · pith_short_12: M7B7Z3H7WLLN · pith_short_16: M7B7Z3H7WLLNFAFN · pith_short_8: M7B7Z3H7

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/M7B7Z3H7WLLNFAFNSWB4LECINX \
  | 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: 67c3fcecffb2d6d280ad9583c590486ddcbe7cabc8cb9c1cfe5f5e908bba0448

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "735516d377c8ff20830d64c6d143132d6a35e76656870128ea5901ec3703f361",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-07-05T11:09:12Z",
    "title_canon_sha256": "2345b863fd419dbd4d2a81c1fa8420ae56d1c49445dbc2b6916d910a4c654fa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0846",
    "kind": "arxiv",
    "version": 3
  }
}