Pith Number

pith:77IIN5G3

pith:2005:77IIN5G3RNPAG24ZO7ONFA7ECP

not attested not anchored not stored refs pending

Inhomogeneous Equation of State of the Universe: Phantom Era, Future Singularity and Crossing the Phantom Barrier

Sergei D. Odintsov, Shin'ichi Nojiri

arxiv:hep-th/0505215 v4 · 2005-05-24 · 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{77IIN5G3RNPAG24ZO7ONFA7ECP}

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

5 papers in Pith

Effective Phantom Dark Energy: What Cosmological Reconstruction Does and Does Not Imply

An Interplay Between Fractional Calculus and Holographic Dark Energy

Evidence for evolving dark energy from DESI DR2 BAO and Pantheon$^+$, DES-Dovekie, and Union3

$\Lambda$CDM-like models with future singularities

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

Receipt and verification

First computed	2026-07-04T15:19:52.580701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffd086f4db8b5e036b9977dcd283e413f5f2b3f1b8d2b7d80547e8c7c84a09f8

Aliases

arxiv: hep-th/0505215 · arxiv_version: hep-th/0505215v4 · doi: 10.48550/arxiv.hep-th/0505215 · pith_short_12: 77IIN5G3RNPA · pith_short_16: 77IIN5G3RNPAG24Z · pith_short_8: 77IIN5G3

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/77IIN5G3RNPAG24ZO7ONFA7ECP \
  | 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: ffd086f4db8b5e036b9977dcd283e413f5f2b3f1b8d2b7d80547e8c7c84a09f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef44544610e4f34e28c52a765d87d31d63cd8391cffbf9a8c41eb907d795d71a",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-05-24T11:52:12Z",
    "title_canon_sha256": "c557d440661d4172a3cc2327a13af5dec5a4d77f8d626d8be87aae297b1d5638"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0505215",
    "kind": "arxiv",
    "version": 4
  }
}