Pith Number

pith:XEY6SE6F

pith:2015:XEY6SE6F4IFU2VTNQ65BQNTREK

not attested not anchored not stored refs pending

Generalized second law of thermodynamics on the apparent horizon in modified Gauss-Bonnet gravity

A. Abdolmaleki, T. Najafi

arxiv:1504.03544 v1 · 2015-04-11 · 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{XEY6SE6F4IFU2VTNQ65BQNTREK}

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	2026-05-18T00:57:42.772237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b931e913c5e20b4d566d87ba18367122ac916fade35a42375aa7f3094d44f72b

Aliases

arxiv: 1504.03544 · arxiv_version: 1504.03544v1 · doi: 10.48550/arxiv.1504.03544 · pith_short_12: XEY6SE6F4IFU · pith_short_16: XEY6SE6F4IFU2VTN · pith_short_8: XEY6SE6F

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/XEY6SE6F4IFU2VTNQ65BQNTREK \
  | 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: b931e913c5e20b4d566d87ba18367122ac916fade35a42375aa7f3094d44f72b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf9ced3761649d9e96b1ce83c54f89da18b5545d377efe3ea2589b51e841ecaf",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-04-11T09:10:47Z",
    "title_canon_sha256": "0d1b71af0c8b67e01edc3a05f061dd6cdb5f7db42a52e11a68411cf8b584b577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03544",
    "kind": "arxiv",
    "version": 1
  }
}