Pith Number

pith:CH3VNYUM

pith:2007:CH3VNYUM3HVVHDHVVMPW5QM7XN

not attested not anchored not stored refs pending

The generalized second law of thermodynamics in the accelerating universe

Bin Wang, Elcio Abdalla, Jia Zhou, Yungui Gong

arxiv:0705.1264 v2 · 2007-05-09 · 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{CH3VNYUM3HVVHDHVVMPW5QM7XN}

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	2026-07-04T15:18:39.253362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11f756e28cd9eb538cf5ab1f6ec19fbb63f1e46d3ca866b16e332ce1cfa63ab6

Aliases

arxiv: 0705.1264 · arxiv_version: 0705.1264v2 · doi: 10.48550/arxiv.0705.1264 · pith_short_12: CH3VNYUM3HVV · pith_short_16: CH3VNYUM3HVVHDHV · pith_short_8: CH3VNYUM

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/CH3VNYUM3HVVHDHVVMPW5QM7XN \
  | 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: 11f756e28cd9eb538cf5ab1f6ec19fbb63f1e46d3ca866b16e332ce1cfa63ab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f99d81982ecf7fee554c04276d6f96c6e16faab156d4b0d420e2ff5baa4f8f13",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-05-09T11:44:07Z",
    "title_canon_sha256": "3c0e50d9f3e3e21f609fcee8738c9830c8d13e2b0a69f57a016e77b39733677a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.1264",
    "kind": "arxiv",
    "version": 2
  }
}