Pith Number

pith:G4DGILVV

pith:2004:G4DGILVV5AM7DKIKVS4SFOIL25

not attested not anchored not stored refs pending

Covariant Lyapunov Exponents for the Mixmaster

Giovanni Imponente, Giovanni Montani

arxiv:gr-qc/0402019 v1 · 2004-02-04 · gr-qc · 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{G4DGILVV5AM7DKIKVS4SFOIL25}

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	2026-05-18T00:59:50.492381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3706642eb5e819f1a90aacb922b90bd773377df88e2a0b65bc3b01da2f6b7034

Aliases

arxiv: gr-qc/0402019 · arxiv_version: gr-qc/0402019v1 · doi: 10.48550/arxiv.gr-qc/0402019 · pith_short_12: G4DGILVV5AM7 · pith_short_16: G4DGILVV5AM7DKIK · pith_short_8: G4DGILVV

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/G4DGILVV5AM7DKIKVS4SFOIL25 \
  | 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: 3706642eb5e819f1a90aacb922b90bd773377df88e2a0b65bc3b01da2f6b7034

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e8be9d158ddbc70b982b4ccdbc168b8fa51740ec7ce3812b67abc5e11290fdc",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-02-04T12:10:38Z",
    "title_canon_sha256": "9dc845293f01ca886e2b75a39903ad5a539b94afee9ed021c05cc91cb0d3b1c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0402019",
    "kind": "arxiv",
    "version": 1
  }
}