Pith Number

pith:TRYI2NEO

pith:2011:TRYI2NEOCUH2RWR72O5XQMKNEC

not attested not anchored not stored refs pending

Time-dependent matter instability and star singularity in $F(R)$ gravity

Kazuharu Bamba, Sergei D. Odintsov, Shin'ichi Nojiri

arxiv:1101.2820 v2 · 2011-01-14 · gr-qc · astro-ph.CO · 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{TRYI2NEOCUH2RWR72O5XQMKNEC}

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	2026-05-18T04:23:56.249766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c708d348e150fa8da3fd3bb78314d2090356468c9997218467e175a77acfe92

Aliases

arxiv: 1101.2820 · arxiv_version: 1101.2820v2 · doi: 10.48550/arxiv.1101.2820 · pith_short_12: TRYI2NEOCUH2 · pith_short_16: TRYI2NEOCUH2RWR7 · pith_short_8: TRYI2NEO

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/TRYI2NEOCUH2RWR72O5XQMKNEC \
  | 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: 9c708d348e150fa8da3fd3bb78314d2090356468c9997218467e175a77acfe92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb0f22f2981babe7d35949a0282b0bb1bfdaec65e5f0ed6cc1f5676add6f3911",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-01-14T14:28:18Z",
    "title_canon_sha256": "b51389707938bace3cb585289115a2652f0dc7b029d3ab18402426366f2072ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2820",
    "kind": "arxiv",
    "version": 2
  }
}