Pith Number

pith:ZO6D6K7W

pith:2014:ZO6D6K7WJLAOP5UT5SJK7SRAAO

not attested not anchored not stored refs pending

Apparent horizon and gravitational thermodynamics of the Universe: Solutions to the temperature and entropy confusions, and extensions to modified gravity

David Wenjie Tian, Ivan Booth

arxiv:1411.6547 v3 · 2014-11-24 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZO6D6K7WJLAOP5UT5SJK7SRAAO}

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

Subtleties in non-equilibrium horizon thermodynamics of modified gravity theories

Receipt and verification

First computed	2026-05-18T01:36:13.811065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbbc3f2bf64ac0e7f693ec92afca2003967e97a71c47b1cac1b82f7587c2d7ac

Aliases

arxiv: 1411.6547 · arxiv_version: 1411.6547v3 · doi: 10.48550/arxiv.1411.6547 · pith_short_12: ZO6D6K7WJLAO · pith_short_16: ZO6D6K7WJLAOP5UT · pith_short_8: ZO6D6K7W

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/ZO6D6K7WJLAOP5UT5SJK7SRAAO \
  | 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: cbbc3f2bf64ac0e7f693ec92afca2003967e97a71c47b1cac1b82f7587c2d7ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d14c0993f880eae6d1e5650a112deec5701e7ae5a20d2492358feb4d5698faf",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-11-24T17:50:08Z",
    "title_canon_sha256": "9c92673604e9bef4e8faf7de5bfee689cc0eef8b3fb0f8591cde2e27d4c27f16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6547",
    "kind": "arxiv",
    "version": 3
  }
}