Pith Number

pith:6XRNAPOD

pith:2003:6XRNAPODCDDP3L3VI2PTPKEPO3

not attested not anchored not stored refs pending

Exact Scaling Solutions in Normal and Brans-Dicke Models of Dark Energy

Israel Quiros, Olga Arias, Tame Gonzalez, Yoelsy Leyva

arxiv:gr-qc/0307016 v1 · 2003-07-04 · 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{6XRNAPODCDDP3L3VI2PTPKEPO3}

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.

Receipt and verification

First computed	2026-05-18T04:38:36.933164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5e2d03dc310c6fdaf75469f37a88f76f8f7577fa00199b2b932dbb211f77921

Aliases

arxiv: gr-qc/0307016 · arxiv_version: gr-qc/0307016v1 · doi: 10.48550/arxiv.gr-qc/0307016 · pith_short_12: 6XRNAPODCDDP · pith_short_16: 6XRNAPODCDDP3L3V · pith_short_8: 6XRNAPOD

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/6XRNAPODCDDP3L3VI2PTPKEPO3 \
  | 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: f5e2d03dc310c6fdaf75469f37a88f76f8f7577fa00199b2b932dbb211f77921

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5235b9e99c2b7ea23d172058af732162e599ef98956cfb81e427ea68a41819ca",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-07-04T01:26:11Z",
    "title_canon_sha256": "b7d9819a49124f86cc99aff4900e4c82e7525191440c6256d6d25d5b89661a41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0307016",
    "kind": "arxiv",
    "version": 1
  }
}