Pith Number

pith:K6MVQZWI

pith:1997:K6MVQZWIYFJ7NLRHEGLFJ42EHM

not attested not anchored not stored refs pending

On the Integrability of Bianchi Cosmological Models

Andrzej J.Maciejewski, Marek Szydlowski

arxiv:gr-qc/9702045 v1 · 1997-02-22 · 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{K6MVQZWIYFJ7NLRHEGLFJ42EHM}

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	2026-05-18T01:06:44.475719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57995866c8c153f6ae27219654f3443b2db8a47b1737bd55207e369fb80f80fc

Aliases

arxiv: gr-qc/9702045 · arxiv_version: gr-qc/9702045v1 · doi: 10.48550/arxiv.gr-qc/9702045 · pith_short_12: K6MVQZWIYFJ7 · pith_short_16: K6MVQZWIYFJ7NLRH · pith_short_8: K6MVQZWI

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/K6MVQZWIYFJ7NLRHEGLFJ42EHM \
  | 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: 57995866c8c153f6ae27219654f3443b2db8a47b1737bd55207e369fb80f80fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1bd79c1cf61198d2f4601648ca24188e44418b7170ecc7c9d2f6814725109ef",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-02-22T17:33:11Z",
    "title_canon_sha256": "62339e1b5c4d1a1ffe0a0008c03b0a292b16ec5bee2cf9284a4b912d66debf08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9702045",
    "kind": "arxiv",
    "version": 1
  }
}