Pith Number

pith:CEHLKABY

pith:1999:CEHLKABYBD6232KHC5CZV3TUPS

not attested not anchored not stored refs pending

A Phase Space Approach to Gravitational Enropy

Tony Rothman

arxiv:gr-qc/9906002 v1 · 1999-06-01 · 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{CEHLKABYBD6232KHC5CZV3TUPS}

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	2026-05-18T01:39:17.978768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

110eb5003808fdade94717459aee747c9c55eb226e9078b6bf9666fade53d445

Aliases

arxiv: gr-qc/9906002 · arxiv_version: gr-qc/9906002v1 · doi: 10.48550/arxiv.gr-qc/9906002 · pith_short_12: CEHLKABYBD62 · pith_short_16: CEHLKABYBD6232KH · pith_short_8: CEHLKABY

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/CEHLKABYBD6232KHC5CZV3TUPS \
  | 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: 110eb5003808fdade94717459aee747c9c55eb226e9078b6bf9666fade53d445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bb0a02b242befd6bd46510f0f7f7d813359f40c59832cfa28f55a4f822c4a5e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-06-01T12:36:07Z",
    "title_canon_sha256": "c0bb53dfe29d74e81e10e6d386c0457d0e44e2ba4dda90dd2a4e7ee3e38f7a97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9906002",
    "kind": "arxiv",
    "version": 1
  }
}