Pith Number

pith:KS27JI52

pith:2012:KS27JI52SMPDRIRYK54PSRGTSI

not attested not anchored not stored refs pending

Ghost-free $F(R)$ bigravity and accelerating cosmology

Sergei D. Odintsov, Shin'ichi Nojiri

arxiv:1207.5106 v2 · 2012-07-21 · 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{KS27JI52SMPDRIRYK54PSRGTSI}

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	2026-05-18T01:56:15.441742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b5f4a3ba931e38a2385778f944d3923cf504092810b94a12ab987df56a08ff

Aliases

arxiv: 1207.5106 · arxiv_version: 1207.5106v2 · doi: 10.48550/arxiv.1207.5106 · pith_short_12: KS27JI52SMPD · pith_short_16: KS27JI52SMPDRIRY · pith_short_8: KS27JI52

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/KS27JI52SMPDRIRYK54PSRGTSI \
  | 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: 54b5f4a3ba931e38a2385778f944d3923cf504092810b94a12ab987df56a08ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1359de496cac71731c466136f1a59e82fb50d7aae7b423c9f55254e6f91f3b1c",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-07-21T07:11:38Z",
    "title_canon_sha256": "b33cde75eb9338b007437405c09a884453e2a318f5c7b3e2248021009ed848f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5106",
    "kind": "arxiv",
    "version": 2
  }
}