Pith Number

pith:5QPCLCY3

pith:1999:5QPCLCY3ALB7VBZCTT6JJBCMOJ

not attested not anchored not stored refs pending

Comment on entropy bounds and the generalized second law

M.A. Pelath, Robert M. Wald

arxiv:gr-qc/9901032 v1 · 1999-01-12 · 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{5QPCLCY3ALB7VBZCTT6JJBCMOJ}

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.

Cited by

1 paper in Pith

Holographic Stirling engines and the route to Carnot efficiency

Receipt and verification

First computed	2026-05-18T01:08:01.169277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec1e258b1b02c3fa87229cfc94844c72764751c0830eac12ad6bba16cc024f52

Aliases

arxiv: gr-qc/9901032 · arxiv_version: gr-qc/9901032v1 · doi: 10.48550/arxiv.gr-qc/9901032 · pith_short_12: 5QPCLCY3ALB7 · pith_short_16: 5QPCLCY3ALB7VBZC · pith_short_8: 5QPCLCY3

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/5QPCLCY3ALB7VBZCTT6JJBCMOJ \
  | 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: ec1e258b1b02c3fa87229cfc94844c72764751c0830eac12ad6bba16cc024f52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f917ca1439a2d6c3cfe27ec96e2b8c6290c8ab187eb192f11a76b5174ad40e46",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-01-12T21:43:16Z",
    "title_canon_sha256": "205d84f2bb7ce70cd7b9b22e1761485a1e5aecfbeafa29ebb8fb93c3a03bf0cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9901032",
    "kind": "arxiv",
    "version": 1
  }
}