Pith Number

pith:4QOHZUQU

pith:2006:4QOHZUQUCJDBKXEFWRFDOTBWX7

not attested not anchored not stored refs pending

Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity

E. Elizalde, F. Briscese, S. D. Odintsov, S. Nojiri

arxiv:hep-th/0612220 v2 · 2006-12-20 · 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{4QOHZUQUCJDBKXEFWRFDOTBWX7}

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

3 papers in Pith

Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

Modified Gravity and Cosmology

Cosmology of fractional gravity

Receipt and verification

First computed	2026-07-04T15:31:44.349150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e41c7cd2141246155c85b44a374c36bfd3500cc0a7661b649f4e047ea8eaac3f

Aliases

arxiv: hep-th/0612220 · arxiv_version: hep-th/0612220v2 · doi: 10.48550/arxiv.hep-th/0612220 · pith_short_12: 4QOHZUQUCJDB · pith_short_16: 4QOHZUQUCJDBKXEF · pith_short_8: 4QOHZUQU

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/4QOHZUQUCJDBKXEFWRFDOTBWX7 \
  | 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: e41c7cd2141246155c85b44a374c36bfd3500cc0a7661b649f4e047ea8eaac3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4682a131836cb02d1f78be962a0bbaf661643f8b3542bbaa67e08437f71ce8a",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-12-20T13:25:33Z",
    "title_canon_sha256": "dabe2bba8239ad2fde77c11b256172d072c2cafdb271e85e4dcba7cbe777ec16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0612220",
    "kind": "arxiv",
    "version": 2
  }
}