Pith Number

pith:4TWOKR2U

pith:2009:4TWOKR2UFYXCE432SXBE7TSSVK

not attested not anchored not stored refs pending

Reconstruction and deceleration-acceleration transitions in modified gravity

Alexey Toporensky, Petr Tretyakov, Sergei D. Odintsov, Shin'ichi Nojiri

arxiv:0912.2488 v3 · 2009-12-13 · hep-th · 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{4TWOKR2UFYXCE432SXBE7TSSVK}

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	2026-05-18T02:33:56.718842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4ece547542e2e22737a95c24fce52aab0539898aa072ebba187a764792f4591

Aliases

arxiv: 0912.2488 · arxiv_version: 0912.2488v3 · doi: 10.48550/arxiv.0912.2488 · pith_short_12: 4TWOKR2UFYXC · pith_short_16: 4TWOKR2UFYXCE432 · pith_short_8: 4TWOKR2U

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/4TWOKR2UFYXCE432SXBE7TSSVK \
  | 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: e4ece547542e2e22737a95c24fce52aab0539898aa072ebba187a764792f4591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "759a645d53a4ee5b4e4c6fb991d5928c2791ced9b345dbad1e786776a5106329",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-12-13T09:58:04Z",
    "title_canon_sha256": "ecb0ced83ee6665fddd7bcc176706ac59c97d5e8313c005f384373585b47a097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2488",
    "kind": "arxiv",
    "version": 3
  }
}