Pith Number

pith:Y3HUW6DJ

pith:2012:Y3HUW6DJIRLL3ADJ46PT3KHYCQ

not attested not anchored not stored refs pending

Variety of cosmic acceleration models from massive $F(R)$ bigravity

Norihito Shirai, Sergei D. Odintsov, Shin'ichi Nojiri

arxiv:1212.2079 v4 · 2012-12-10 · 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{Y3HUW6DJIRLL3ADJ46PT3KHYCQ}

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	2026-05-18T01:52:40.599731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6cf4b78694456bd8069e79f3da8f8141913e72a045f7d31986975a9d5a77f7f

Aliases

arxiv: 1212.2079 · arxiv_version: 1212.2079v4 · doi: 10.48550/arxiv.1212.2079 · pith_short_12: Y3HUW6DJIRLL · pith_short_16: Y3HUW6DJIRLL3ADJ · pith_short_8: Y3HUW6DJ

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/Y3HUW6DJIRLL3ADJ46PT3KHYCQ \
  | 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: c6cf4b78694456bd8069e79f3da8f8141913e72a045f7d31986975a9d5a77f7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e8fb0049ddf7ff3b2c24c5c8dd0f76e19e7eb754646b818bb5b6436082dc57e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-12-10T14:29:34Z",
    "title_canon_sha256": "ed7c571c8ca11e24ff0284e7a291ef5afcb7fc37fe2b9d013d39630fcb99b712"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2079",
    "kind": "arxiv",
    "version": 4
  }
}