Pith Number

pith:45WYWDK7

pith:2003:45WYWDK7WVAYWLPK2IBDIFP7RG

not attested not anchored not stored refs pending

Generalized phantom energy

Hrvoje Stefancic

arxiv:astro-ph/0310904 v2 · 2003-10-31 · 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{45WYWDK7WVAYWLPK2IBDIFP7RG}

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

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

Receipt and verification

First computed	2026-07-04T16:37:39.267436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e76d8b0d5fb5418b2dead2023415ff899c2dd3d362518c6b1cbab26b6aab7ce1

Aliases

arxiv: astro-ph/0310904 · arxiv_version: astro-ph/0310904v2 · doi: 10.48550/arxiv.astro-ph/0310904 · pith_short_12: 45WYWDK7WVAY · pith_short_16: 45WYWDK7WVAYWLPK · pith_short_8: 45WYWDK7

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/45WYWDK7WVAYWLPK2IBDIFP7RG \
  | 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: e76d8b0d5fb5418b2dead2023415ff899c2dd3d362518c6b1cbab26b6aab7ce1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39d0c6689995af232316b2c03b40f31bcdec19634467df177ce6b7e2e69843da",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-10-31T14:37:30Z",
    "title_canon_sha256": "46bedc2bb2299e9456aee8c89e5b0e4bf63c62c901b335fda68ba5241e172df3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0310904",
    "kind": "arxiv",
    "version": 2
  }
}