Pith Number

pith:OS342TGY

pith:2024:OS342TGYKBIAVMHMRECNKOKSMN

not attested not anchored not stored refs pending

The Smarr formula within the Geroch-Held-Penrose formalism

Alberto Guilabert, Pedro Bargue\~no

arxiv:2412.09682 v2 · 2024-12-12 · 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{OS342TGYKBIAVMHMRECNKOKSMN}

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	2026-07-05T10:42:40.279388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74b7cd4cd850500ab0ec8904d5395263503824ee2f72ca260e5239ffd98839a5

Aliases

arxiv: 2412.09682 · arxiv_version: 2412.09682v2 · doi: 10.48550/arxiv.2412.09682 · pith_short_12: OS342TGYKBIA · pith_short_16: OS342TGYKBIAVMHM · pith_short_8: OS342TGY

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/OS342TGYKBIAVMHMRECNKOKSMN \
  | 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: 74b7cd4cd850500ab0ec8904d5395263503824ee2f72ca260e5239ffd98839a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "035acaa2b4df56d9189f03717b2a7310b4723fa4696fbf4b8dfc08aae46a59ba",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-12T19:01:02Z",
    "title_canon_sha256": "10743d1828496e1476c3d6e5fcae1908b93337fa07a7e47c52f9ee5f08781736"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.09682",
    "kind": "arxiv",
    "version": 2
  }
}