Pith Number

pith:FRDAWY3H

pith:2007:FRDAWY3HYMY4MQ4LZMD2ARJU4Y

not attested not anchored not stored refs pending

First law of thermodynamics and Friedmann-like equations in braneworld cosmology

Xian-Hui Ge

arxiv:hep-th/0703253 v3 · 2007-03-28 · hep-th · astro-ph · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRDAWY3HYMY4MQ4LZMD2ARJU4Y}

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.

Cited by

1 paper in Pith

First Law of Thermodynamics and Emergence of Cosmic Space in a Non-Flat Universe

Receipt and verification

First computed	2026-07-04T15:31:45.704119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c460b6367c331c6438bcb07a04534e60db9ca8fb38b6483a8ada8cc1b5d7197

Aliases

arxiv: hep-th/0703253 · arxiv_version: hep-th/0703253v3 · doi: 10.48550/arxiv.hep-th/0703253 · pith_short_12: FRDAWY3HYMY4 · pith_short_16: FRDAWY3HYMY4MQ4L · pith_short_8: FRDAWY3H

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/FRDAWY3HYMY4MQ4LZMD2ARJU4Y \
  | 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: 2c460b6367c331c6438bcb07a04534e60db9ca8fb38b6483a8ada8cc1b5d7197

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dde457bd2aa9cfc7aa98b6d55fcb8d97505b53780c83cec817251c60719f4c42",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-03-28T07:30:18Z",
    "title_canon_sha256": "f73dbe6f368de07ea47469139c6c83e238e686c5fa10a815a97c4951ad61a540"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0703253",
    "kind": "arxiv",
    "version": 3
  }
}