Pith Number

pith:5PT6D3YT

pith:2012:5PT6D3YTHCQEFKAKHO4GKLG2NQ

not attested not anchored not stored refs pending

Thermodynamics of a Black Hole with Moon

Alexandre Le Tiec, Samuel E. Gralla

arxiv:1210.8444 v3 · 2012-10-31 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PT6D3YTHCQEFKAKHO4GKLG2NQ}

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	2026-05-18T03:15:18.620657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebe7e1ef1338a042a80a3bb8652cda6c1280743949fa32ab78942931025f7d40

Aliases

arxiv: 1210.8444 · arxiv_version: 1210.8444v3 · doi: 10.48550/arxiv.1210.8444 · pith_short_12: 5PT6D3YTHCQE · pith_short_16: 5PT6D3YTHCQEFKAK · pith_short_8: 5PT6D3YT

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/5PT6D3YTHCQEFKAKHO4GKLG2NQ \
  | 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: ebe7e1ef1338a042a80a3bb8652cda6c1280743949fa32ab78942931025f7d40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "320a35596267ad26f0a1d770e0c9f280e68cdd7e0b0cadcf8d7c34927763b256",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-10-31T19:22:56Z",
    "title_canon_sha256": "d845297a681740deb52bf4594663a62f84328b72c71aa8f699048b09b2b7ab18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8444",
    "kind": "arxiv",
    "version": 3
  }
}