Pith Number

pith:7F4QLDZQ

pith:2004:7F4QLDZQGW7QN3J4VXYNOKLXRO

not attested not anchored not stored refs pending

Non-minimal coupling, exponential potentials and the $w<-1$ regime of dark energy

Alberto Saa, Fabio C. Carvalho

arxiv:astro-ph/0408013 v2 · 2004-08-01 · 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{7F4QLDZQGW7QN3J4VXYNOKLXRO}

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

1 paper in Pith

Extended Dark Energy analysis using DESI DR2 BAO measurements

Receipt and verification

First computed	2026-07-04T16:44:25.222921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f979058f3035bf06ed3cadf0d729778b8a4cfbc5da03c40bede9747fb3d2f48d

Aliases

arxiv: astro-ph/0408013 · arxiv_version: astro-ph/0408013v2 · doi: 10.48550/arxiv.astro-ph/0408013 · pith_short_12: 7F4QLDZQGW7Q · pith_short_16: 7F4QLDZQGW7QN3J4 · pith_short_8: 7F4QLDZQ

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/7F4QLDZQGW7QN3J4VXYNOKLXRO \
  | 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: f979058f3035bf06ed3cadf0d729778b8a4cfbc5da03c40bede9747fb3d2f48d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3881b9bd59f081c2a6fff9cfda9297702a378127562fb3379bfc7d09be1dc4f6",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-08-01T03:39:32Z",
    "title_canon_sha256": "fe4ba6643e8b96cab7c1910ddf49cd70b3f27fd4dc78ea91b14d70af9381a0d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0408013",
    "kind": "arxiv",
    "version": 2
  }
}