Pith Number

pith:5WFCABSN

pith:1997:5WFCABSNU7ADUKDHVBV6K77JTY

not attested not anchored not stored refs pending

Upper bound for entropy in asymptotically de Sitter space-time

Akihiro Ishibashi, Kengo Maeda, Makoto Narita, Tatsuhiko Koike

arxiv:gr-qc/9712029 v1 · 1997-12-05 · 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{5WFCABSNU7ADUKDHVBV6K77JTY}

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	2026-07-04T16:04:41.676673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed8a20064da7c03a2867a86be57fe99e3f19e45ff1b7526d4bb7579b1db88405

Aliases

arxiv: gr-qc/9712029 · arxiv_version: gr-qc/9712029v1 · doi: 10.48550/arxiv.gr-qc/9712029 · pith_short_12: 5WFCABSNU7AD · pith_short_16: 5WFCABSNU7ADUKDH · pith_short_8: 5WFCABSN

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/5WFCABSNU7ADUKDHVBV6K77JTY \
  | 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: ed8a20064da7c03a2867a86be57fe99e3f19e45ff1b7526d4bb7579b1db88405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d60eb92335a218bdf3fb740fed0552b1f2b88db33ea64502f996c7aabf03708e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-12-05T07:09:35Z",
    "title_canon_sha256": "142a1c1ebe7b0cc64881b0a8b4fa4b78bc5b73dbed575231ccc8c215a62f74c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9712029",
    "kind": "arxiv",
    "version": 1
  }
}