Pith Number

pith:O72WXLCR

pith:2007:O72WXLCRYCXG3FYAHDFAFY6QIQ

not attested not anchored not stored refs pending

Thermodynamics of Apparent Horizon in Brane World Scenarios

Rong-Gen Cai

arxiv:0712.2142 v1 · 2007-12-13 · 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{O72WXLCRYCXG3FYAHDFAFY6QIQ}

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	2026-07-04T15:28:03.569854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77f56bac51c0ae6d970038ca02e3d04405ad0951a56fb81e7643aebd9bcc3804

Aliases

arxiv: 0712.2142 · arxiv_version: 0712.2142v1 · doi: 10.48550/arxiv.0712.2142 · pith_short_12: O72WXLCRYCXG · pith_short_16: O72WXLCRYCXG3FYA · pith_short_8: O72WXLCR

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/O72WXLCRYCXG3FYAHDFAFY6QIQ \
  | 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: 77f56bac51c0ae6d970038ca02e3d04405ad0951a56fb81e7643aebd9bcc3804

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8e7bcf7caed35ea4ad2a3b29c348a98698ac6f59c3f1f01c69c260fed6ccaab",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-12-13T12:50:33Z",
    "title_canon_sha256": "464ee524db3f1cac21f2dc8194892f8edefa98dbfd4052607a371b61c26883f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2142",
    "kind": "arxiv",
    "version": 1
  }
}