Pith Number

pith:VLBGS3S5

pith:2010:VLBGS3S5JEZFJVLA33L5O4W54C

not attested not anchored not stored refs pending

Equipartition of energy and the first law of thermodynamics at the apparent horizon

Fu-Wen Shu, Yungui Gong

arxiv:1001.3237 v2 · 2010-01-19 · gr-qc · astro-ph.CO · 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{VLBGS3S5JEZFJVLA33L5O4W54C}

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	2026-05-18T04:23:03.181154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aac2696e5d493254d560ded7d772dde0b5e7521a6203568ffdf5ba1e35041132

Aliases

arxiv: 1001.3237 · arxiv_version: 1001.3237v2 · doi: 10.48550/arxiv.1001.3237 · pith_short_12: VLBGS3S5JEZF · pith_short_16: VLBGS3S5JEZFJVLA · pith_short_8: VLBGS3S5

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/VLBGS3S5JEZFJVLA33L5O4W54C \
  | 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: aac2696e5d493254d560ded7d772dde0b5e7521a6203568ffdf5ba1e35041132

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a065530b1e932c298a89657e706188804aaec59e1cccdef0e86e169fc0de90ef",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-01-19T09:41:02Z",
    "title_canon_sha256": "3d84167b9e80f162d58f67932f1c05e910db16f4c98deb30307ebcdab4bf538c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3237",
    "kind": "arxiv",
    "version": 2
  }
}