Pith Number

pith:T7PAFCVR

pith:1998:T7PAFCVREZBQKUFPB6E43SKITT

not attested not anchored not stored refs pending

Dynamic black-hole entropy

Sean A. Hayward, Shinji Mukohyama & M. C. Ashworth

arxiv:gr-qc/9810006 v1 · 1998-10-02 · 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{T7PAFCVREZBQKUFPB6E43SKITT}

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

3 papers in Pith

Modified Cosmology from Mass-to-Horizon Relation: Background Evolution

Generalized Mass-to-Horizon Entropy and Horizon Thermodynamics

Modified Entropy from Action Principle

Receipt and verification

First computed	2026-07-04T17:28:36.760973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fde028ab126430550af0f89cdc9489ce1c4a3ce8e3edafefb6c677dcb752682

Aliases

arxiv: gr-qc/9810006 · arxiv_version: gr-qc/9810006v1 · doi: 10.48550/arxiv.gr-qc/9810006 · pith_short_12: T7PAFCVREZBQ · pith_short_16: T7PAFCVREZBQKUFP · pith_short_8: T7PAFCVR

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/T7PAFCVREZBQKUFPB6E43SKITT \
  | 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: 9fde028ab126430550af0f89cdc9489ce1c4a3ce8e3edafefb6c677dcb752682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3e66f8b105126af30f7214128d69d9033a19cf78dae093927a916f4036bf5b6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-10-02T04:56:33Z",
    "title_canon_sha256": "124548833fb8cb2adc80939228f38da32144c23d0c46407e6db614c6e1921bc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9810006",
    "kind": "arxiv",
    "version": 1
  }
}