Pith Number

pith:6F4HVUXF

pith:2010:6F4HVUXFISOU5TF7QF3ZU2DGQQ

not attested not anchored not stored refs pending

Note on the classical solutions of Friedmann's equation

Arthur Viglioni, Domingos Soares

arxiv:1007.0598 v6 · 2010-07-04 · physics.gen-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6F4HVUXFISOU5TF7QF3ZU2DGQQ}

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	2026-05-18T04:07:08.070628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1787ad2e5449d4eccbf81779a6866843e58c596c1a28c727cc53aa7fc6a1713

Aliases

arxiv: 1007.0598 · arxiv_version: 1007.0598v6 · doi: 10.48550/arxiv.1007.0598 · pith_short_12: 6F4HVUXFISOU · pith_short_16: 6F4HVUXFISOU5TF7 · pith_short_8: 6F4HVUXF

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/6F4HVUXFISOU5TF7QF3ZU2DGQQ \
  | 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: f1787ad2e5449d4eccbf81779a6866843e58c596c1a28c727cc53aa7fc6a1713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80fd3818923bb081f1371ad3bc240185114d884dc29fa8f434a86127a1ba6fbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2010-07-04T23:24:33Z",
    "title_canon_sha256": "f8069e49a43599b9388f674f4ccb9a38b13233afb562ef6990b3284fda3cd1e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0598",
    "kind": "arxiv",
    "version": 6
  }
}