Pith Number

pith:YIRZN7YQ

pith:2011:YIRZN7YQD6R4QSGGQPJVS7ZWHT

not attested not anchored not stored refs pending

The Bispectrum of f(R) Cosmologies

Fabian Schmidt, H\'ector Gil-Mar\'in, Licia Verde, Raul Jimenez, Wayne Hu

arxiv:1109.2115 v2 · 2011-09-09 · 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{YIRZN7YQD6R4QSGGQPJVS7ZWHT}

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	2026-05-18T04:07:53.802588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c22396ff101fa3c848c683d3597f363ced4e45bc8f8aee0c513153c08b4eee3c

Aliases

arxiv: 1109.2115 · arxiv_version: 1109.2115v2 · doi: 10.48550/arxiv.1109.2115 · pith_short_12: YIRZN7YQD6R4 · pith_short_16: YIRZN7YQD6R4QSGG · pith_short_8: YIRZN7YQ

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/YIRZN7YQD6R4QSGGQPJVS7ZWHT \
  | 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: c22396ff101fa3c848c683d3597f363ced4e45bc8f8aee0c513153c08b4eee3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acc83912e1bc01e80c3ff78270ed72b975d4c18c50028de35a1795a85b30033b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-09-09T20:00:01Z",
    "title_canon_sha256": "eb1bea6a201ad21d761053f4382b9b6da715b63ecc333a7970cda4f5a2b7f3fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2115",
    "kind": "arxiv",
    "version": 2
  }
}