Pith Number

pith:EUUKYUUP

pith:2013:EUUKYUUPXEXPDDRQKYWTRMR5DM

not attested not anchored not stored refs pending

Modified gravity: walk through accelerating cosmology

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

arxiv:1302.4831 v1 · 2013-02-20 · 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{EUUKYUUPXEXPDDRQKYWTRMR5DM}

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	2026-05-18T03:33:10.858361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2528ac528fb92ef18e30562d38b23d1b2700a99f0a74962d60df588bd6dd5b3f

Aliases

arxiv: 1302.4831 · arxiv_version: 1302.4831v1 · doi: 10.48550/arxiv.1302.4831 · pith_short_12: EUUKYUUPXEXP · pith_short_16: EUUKYUUPXEXPDDRQ · pith_short_8: EUUKYUUP

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/EUUKYUUPXEXPDDRQKYWTRMR5DM \
  | 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: 2528ac528fb92ef18e30562d38b23d1b2700a99f0a74962d60df588bd6dd5b3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f59e8343f876eb04e233751c95b920f5b12bfd3d52c2d5003d1cd4c726ba4066",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-02-20T08:28:29Z",
    "title_canon_sha256": "7c12acc27be571a34ba1f30e1b757f4a744f5f0d6d9af9b9291ee6db85b8654b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4831",
    "kind": "arxiv",
    "version": 1
  }
}