Pith Number

pith:XKM4LD72

pith:2007:XKM4LD7232POKNL43CV7IRWSA4

not attested not anchored not stored refs pending

Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models

Luca Amendola, Shinji Tsujikawa

arxiv:0705.0396 v3 · 2007-05-03 · astro-ph · gr-qc · hep-ph · 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{XKM4LD7232POKNL43CV7IRWSA4}

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

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

Dynamical system analysis of the cosmological phases in Palatini $k$-essence gravity

Receipt and verification

First computed	2026-07-04T17:27:20.166156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba99c58ffade9ee5357cd8abf446d207269f4776f513343d9b4b639e9ea18e28

Aliases

arxiv: 0705.0396 · arxiv_version: 0705.0396v3 · doi: 10.48550/arxiv.0705.0396 · pith_short_12: XKM4LD7232PO · pith_short_16: XKM4LD7232POKNL4 · pith_short_8: XKM4LD72

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/XKM4LD7232POKNL43CV7IRWSA4 \
  | 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: ba99c58ffade9ee5357cd8abf446d207269f4776f513343d9b4b639e9ea18e28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad53b125c4bef0e09127d4291dc926f9acb801a7da340ed805589646198bac38",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-05-03T01:07:47Z",
    "title_canon_sha256": "555444a136112873c67d2167854055b64ff2ffe9fa5d3d35a4dd9a2baf71dbe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.0396",
    "kind": "arxiv",
    "version": 3
  }
}