Pith Number

pith:W5SZUTUH

pith:2012:W5SZUTUHBP655GYPU3FSEWFWK5

not attested not anchored not stored refs pending

Anisotropic Friedmann-Robertson-Walker universe from nonlinear massive gravity

A. Emir Gumrukcuoglu, Chunshan Lin, Shinji Mukohyama

arxiv:1206.2723 v2 · 2012-06-13 · hep-th · astro-ph.CO · 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{W5SZUTUHBP655GYPU3FSEWFWK5}

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	2026-05-18T03:43:07.112485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7659a4e870bfdde9b0fa6cb2258b65747967b0577d059fee6d04680b89d1620

Aliases

arxiv: 1206.2723 · arxiv_version: 1206.2723v2 · doi: 10.48550/arxiv.1206.2723 · pith_short_12: W5SZUTUHBP65 · pith_short_16: W5SZUTUHBP655GYP · pith_short_8: W5SZUTUH

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/W5SZUTUHBP655GYPU3FSEWFWK5 \
  | 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: b7659a4e870bfdde9b0fa6cb2258b65747967b0577d059fee6d04680b89d1620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48500e607966932a11b9135e74523390a17386e7ec4ad2fe628b592c46728b2d",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-06-13T05:56:34Z",
    "title_canon_sha256": "7d173cd68f63cc19aa62b99c564a5ef5144e62285e8ef683c2cb2d8f1ea6d573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2723",
    "kind": "arxiv",
    "version": 2
  }
}