Pith Number

pith:O2PQDBQP

pith:2013:O2PQDBQPBIQKK57Z6MJK4N7QYC

not attested not anchored not stored refs pending

Early Modified Gravity: Implications for Cosmology

Anne-Christine Davis, Carsten van de Bruck, Gregory Sculthorpe, Philippe Brax, Sebastien Clesse

arxiv:1312.3361 v2 · 2013-12-11 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2PQDBQPBIQKK57Z6MJK4N7QYC}

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	2026-05-18T02:49:38.838079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

769f01860f0a20a577f9f312ae37f0c0bef5cbd41ba64b7c751ddfccb64edd4d

Aliases

arxiv: 1312.3361 · arxiv_version: 1312.3361v2 · doi: 10.48550/arxiv.1312.3361 · pith_short_12: O2PQDBQPBIQK · pith_short_16: O2PQDBQPBIQKK57Z · pith_short_8: O2PQDBQP

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/O2PQDBQPBIQKK57Z6MJK4N7QYC \
  | 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: 769f01860f0a20a577f9f312ae37f0c0bef5cbd41ba64b7c751ddfccb64edd4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0302c3fdddf9d7a6126615d52f8c259c4b2f54754bdb29839cab505818ed7c5a",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-12-11T22:18:52Z",
    "title_canon_sha256": "9226f7818533ebe910e4f1ed2f7a04a0607f141040c985ad2bc245a941e28b28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3361",
    "kind": "arxiv",
    "version": 2
  }
}