Pith Number

pith:C2MWAMTI

pith:2011:C2MWAMTIJXU7DKJG3UMSH6HE57

not attested not anchored not stored refs pending

Future Oscillations around Phantom Divide in f(R) Gravity

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

arxiv:1101.0744 v2 · 2011-01-04 · astro-ph.CO · gr-qc · 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{C2MWAMTIJXU7DKJG3UMSH6HE57}

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	2026-05-18T04:20:24.792596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16996032684de9f1a926dd1923f8e4effa10369e03c4c8c9f2651d70f08c7c6e

Aliases

arxiv: 1101.0744 · arxiv_version: 1101.0744v2 · doi: 10.48550/arxiv.1101.0744 · pith_short_12: C2MWAMTIJXU7 · pith_short_16: C2MWAMTIJXU7DKJG · pith_short_8: C2MWAMTI

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/C2MWAMTIJXU7DKJG3UMSH6HE57 \
  | 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: 16996032684de9f1a926dd1923f8e4effa10369e03c4c8c9f2651d70f08c7c6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2052c8bf975b481cea8a7ae4bab8da0f42863d26d6805bf57ab0edb78fa3d351",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-01-04T15:47:49Z",
    "title_canon_sha256": "c0efa405386f574635e83aff8c4a68282dba67815cc6d932a3dafad086b95212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0744",
    "kind": "arxiv",
    "version": 2
  }
}