Pith Number

pith:KHEP5ZKA

pith:2006:KHEP5ZKASU27DIUMC3D3O6HE4K

not attested not anchored not stored refs pending

Thermodynamics of Apparent Horizon in Brane World Scenario

Li-Ming Cao, Rong-Gen Cai

arxiv:hep-th/0612144 v3 · 2006-12-14 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHEP5ZKASU27DIUMC3D3O6HE4K}

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	2026-07-04T15:25:19.544572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51c8fee5409535f1a28c16c7b778e4e29151d04650c40a07fe2f4cf9d9079034

Aliases

arxiv: hep-th/0612144 · arxiv_version: hep-th/0612144v3 · doi: 10.48550/arxiv.hep-th/0612144 · pith_short_12: KHEP5ZKASU27 · pith_short_16: KHEP5ZKASU27DIUM · pith_short_8: KHEP5ZKA

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/KHEP5ZKASU27DIUMC3D3O6HE4K \
  | 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: 51c8fee5409535f1a28c16c7b778e4e29151d04650c40a07fe2f4cf9d9079034

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08bef0b774705f3717fc00e3f9f599382ea20848de4b41f669a56f268acbbf81",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-12-14T08:48:11Z",
    "title_canon_sha256": "fe53b853b70a3e8d92d7a0a63b51c3816988970f2e682bcb9e2ca1cb34c0a0c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0612144",
    "kind": "arxiv",
    "version": 3
  }
}