Pith Number

pith:SBY4X7GU

pith:2025:SBY4X7GU27ADQKWSZUTROCMXAM

not attested not anchored not stored refs pending

Gravitational Entropy

Malcolm J. Perry, Sangmin Choi

arxiv:2509.10921 v3 · 2025-09-13 · hep-th · 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{SBY4X7GU27ADQKWSZUTROCMXAM}

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	2026-07-07T03:18:49.105723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9071cbfcd4d7c0382ad2cd271709970326ed2cf787f69670840de4babec4d5e5

Aliases

arxiv: 2509.10921 · arxiv_version: 2509.10921v3 · doi: 10.48550/arxiv.2509.10921 · pith_short_12: SBY4X7GU27AD · pith_short_16: SBY4X7GU27ADQKWS · pith_short_8: SBY4X7GU

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/SBY4X7GU27ADQKWSZUTROCMXAM \
  | 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: 9071cbfcd4d7c0382ad2cd271709970326ed2cf787f69670840de4babec4d5e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "040247efaf15dcba1363e82bef772aceff2e1cad9f549b5d402808f25f529f45",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-09-13T17:40:48Z",
    "title_canon_sha256": "4e805095c824e640a0d8bd72bec2e46c79020f2c72d380b40f440872c599cc44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.10921",
    "kind": "arxiv",
    "version": 3
  }
}