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Pith Number

pith:5QPTLKHF

pith:2004:5QPTLKHFIIJOK42W7ADRLK4JKW
not attested not anchored not stored refs pending

Crossing the Phantom Divide: Dark Energy Internal Degrees of Freedom

Wayne Hu (KICP; U Chicago)

arxiv:astro-ph/0410680 v2 · 2004-10-28 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5QPTLKHFIIJOK42W7ADRLK4JKW}

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

4 papers in Pith

Receipt and verification
First computed 2026-05-18T04:22:21.039249Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ec1f35a8e54212e57356f80715ab8955997032c2753ce400b90feec505da9c1a

Aliases

arxiv: astro-ph/0410680 · arxiv_version: astro-ph/0410680v2 · doi: 10.48550/arxiv.astro-ph/0410680 · pith_short_12: 5QPTLKHFIIJO · pith_short_16: 5QPTLKHFIIJOK42W · pith_short_8: 5QPTLKHF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5QPTLKHFIIJOK42W7ADRLK4JKW \
  | 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: ec1f35a8e54212e57356f80715ab8955997032c2753ce400b90feec505da9c1a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c4fa4796fab25422b72141b87aa6d7c3f8a137432edae5383d1a8cd167618c51",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-10-28T01:31:44Z",
    "title_canon_sha256": "3ad06257f6440feb81c833c67e68c606b327c19acb5ff1e40bc73a61f6617fc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0410680",
    "kind": "arxiv",
    "version": 2
  }
}