Pith Number

pith:2QTOXOT7

pith:2004:2QTOXOT7D5RZGDBLLVUWVIYOXL

not attested not anchored not stored refs pending

Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday

M.C.B. Abdalla, Sergei D.Odintsov, Shin'ichi Nojiri

arxiv:hep-th/0409177 v3 · 2004-09-16 · hep-th · astro-ph · 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{2QTOXOT7D5RZGDBLLVUWVIYOXL}

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.

Cited by

2 papers in Pith

An Interplay Between Fractional Calculus and Holographic Dark Energy

Modified Gravity and Cosmology

Receipt and verification

First computed	2026-07-04T15:49:58.060491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d426ebba7f1f63930c2b5d696aa30ebaf7b1450e5178a6b0637c829d5ba0b546

Aliases

arxiv: hep-th/0409177 · arxiv_version: hep-th/0409177v3 · doi: 10.48550/arxiv.hep-th/0409177 · pith_short_12: 2QTOXOT7D5RZ · pith_short_16: 2QTOXOT7D5RZGDBL · pith_short_8: 2QTOXOT7

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/2QTOXOT7D5RZGDBLLVUWVIYOXL \
  | 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: d426ebba7f1f63930c2b5d696aa30ebaf7b1450e5178a6b0637c829d5ba0b546

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f2dee192ee759a88164824083d19da37c4957928bd28bbabf7752f9cd20fd30",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-09-16T22:01:33Z",
    "title_canon_sha256": "7e4fc3766e951e32690824ec3f48aa8138ad9905e19ee6955d57ab67bf38b29c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0409177",
    "kind": "arxiv",
    "version": 3
  }
}