Pith Number

pith:UBG5R7LC

pith:2010:UBG5R7LCRUXMX6PALB5MQ5YGUJ

not attested not anchored not stored refs pending

Phantom behaviour and growth index anomalous evolution in viable f(R) gravity models

Alexei A. Starobinsky, Hayato Motohashi, Jun'ichi Yokoyama

arxiv:1002.0462 v2 · 2010-02-02 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UBG5R7LCRUXMX6PALB5MQ5YGUJ}

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	2026-05-18T04:31:11.895907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a04dd8fd628d2ecbf9e0587ac87706a247227dd7c142fc538b02279bb2f94040

Aliases

arxiv: 1002.0462 · arxiv_version: 1002.0462v2 · doi: 10.48550/arxiv.1002.0462 · pith_short_12: UBG5R7LCRUXM · pith_short_16: UBG5R7LCRUXMX6PA · pith_short_8: UBG5R7LC

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/UBG5R7LCRUXMX6PALB5MQ5YGUJ \
  | 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: a04dd8fd628d2ecbf9e0587ac87706a247227dd7c142fc538b02279bb2f94040

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46f85d08dbd564a9576ada0ae7a5238387aee73d4fd3d9b2d20773b073f39e73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-02-02T11:26:07Z",
    "title_canon_sha256": "a78cd2342309f68eb6eba069f6bb92d07a95bbe701557f6aabcbf180ec9eacd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0462",
    "kind": "arxiv",
    "version": 2
  }
}