Pith Number

pith:J72DR4F6

pith:2008:J72DR4F6UNXPNUOIZDIECDX52T

not attested not anchored not stored refs pending

The generalized second law of thermodynamics in generalized gravity theories

Bin Wang, Guo-Hong Yang, Peng-Ming Zhang, Shao-Feng Wu

arxiv:0801.2688 v4 · 2008-01-17 · 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{J72DR4F6UNXPNUOIZDIECDX52T}

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	2026-07-04T15:34:01.577928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ff438f0bea36ef6d1c8c8d0410efdd4dbf975ca73fad6f8de135c43b18b8b50

Aliases

arxiv: 0801.2688 · arxiv_version: 0801.2688v4 · doi: 10.48550/arxiv.0801.2688 · pith_short_12: J72DR4F6UNXP · pith_short_16: J72DR4F6UNXPNUOI · pith_short_8: J72DR4F6

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/J72DR4F6UNXPNUOIZDIECDX52T \
  | 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: 4ff438f0bea36ef6d1c8c8d0410efdd4dbf975ca73fad6f8de135c43b18b8b50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91ee0540aa8fbb935b191cf5945a7c9410b43f8680394057e1fefedd71ba37e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-01-17T14:49:25Z",
    "title_canon_sha256": "c7c0f44478667470e449afeae4a1819d2b6b780810ac6a1622056950087c52ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.2688",
    "kind": "arxiv",
    "version": 4
  }
}