Pith Number

pith:QPYLK5OR

pith:2009:QPYLK5ORF6J343FVMYO7I4OWPA

not attested not anchored not stored refs pending

Oscillating phantom in $F(R)$ gravity

Chao-Qiang Geng, Kazuharu Bamba

arxiv:0909.1249 v1 · 2009-09-07 · astro-ph.CO · gr-qc · hep-ph · 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{QPYLK5ORF6J343FVMYO7I4OWPA}

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	2026-05-18T02:34:30.887853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83f0b575d12f93be6cb5661df471d6780e5d498bfc62fe0959965cd515f5a28b

Aliases

arxiv: 0909.1249 · arxiv_version: 0909.1249v1 · doi: 10.48550/arxiv.0909.1249 · pith_short_12: QPYLK5ORF6J3 · pith_short_16: QPYLK5ORF6J343FV · pith_short_8: QPYLK5OR

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/QPYLK5ORF6J343FVMYO7I4OWPA \
  | 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: 83f0b575d12f93be6cb5661df471d6780e5d498bfc62fe0959965cd515f5a28b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e82839bc61283a7a06886a1f986664c97a803dc53436746b97a8eb544dc009e1",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-09-07T13:49:37Z",
    "title_canon_sha256": "55f71c2777e110927cb988ccdbf74d3b6c97eb6cd3ab864484520f19f3588583"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1249",
    "kind": "arxiv",
    "version": 1
  }
}