Pith Number

pith:OZVMO3TN

pith:2014:OZVMO3TNY4ZO3CFJENFJAT3OF3

not attested not anchored not stored refs pending

Friedmann equations from nonequilibrium thermodynamics of the Universe: A unified formulation for modified gravity

David Wenjie Tian, Ivan Booth

arxiv:1409.4278 v2 · 2014-09-15 · 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{OZVMO3TNY4ZO3CFJENFJAT3OF3}

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

Black hole chemistry: thermodynamics with Lambda

Receipt and verification

First computed	2026-05-18T01:37:02.172755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

766ac76e6dc732ed88a9234a904f6e2eee9473e30a1f38ddfbc53c1b4712d534

Aliases

arxiv: 1409.4278 · arxiv_version: 1409.4278v2 · doi: 10.48550/arxiv.1409.4278 · pith_short_12: OZVMO3TNY4ZO · pith_short_16: OZVMO3TNY4ZO3CFJ · pith_short_8: OZVMO3TN

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/OZVMO3TNY4ZO3CFJENFJAT3OF3 \
  | 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: 766ac76e6dc732ed88a9234a904f6e2eee9473e30a1f38ddfbc53c1b4712d534

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "387d026194d1c937e399381ec5c3e29874b643789fd7d0cb2e8b512b18013840",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-09-15T14:44:43Z",
    "title_canon_sha256": "e4e8c88815c8be79c77166da44b2bf940b45309dae87432ab1dbbd8b6d8f1dc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4278",
    "kind": "arxiv",
    "version": 2
  }
}