Pith Number

pith:JM6UYDJM

pith:1995:JM6UYDJM7U7QNFUPOQ23ECGTZP

not attested not anchored not stored refs pending

Distribution of Eigenvalues for the Modular Group

C. Schmit (Division de Physique Th\'eorique, E. Bogomolny (Division de Physique Th\'eorique, F. Leyvraz (Instituto de F\'isica, France), Institut de Physique Nucl\'eaire, Mexico City), Orsay, University of Mexico

arxiv:chao-dyn/9509019 v1 · 1995-09-26 · chao-dyn · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JM6UYDJM7U7QNFUPOQ23ECGTZP}

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	2026-05-18T01:09:21.218449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b3d4c0d2cfd3f06968f7435b208d3cbf0063742ebfbeea5ae034e4709bb481f

Aliases

arxiv: chao-dyn/9509019 · arxiv_version: chao-dyn/9509019v1 · doi: 10.48550/arxiv.chao-dyn/9509019 · pith_short_12: JM6UYDJM7U7Q · pith_short_16: JM6UYDJM7U7QNFUP · pith_short_8: JM6UYDJM

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/JM6UYDJM7U7QNFUPOQ23ECGTZP \
  | 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: 4b3d4c0d2cfd3f06968f7435b208d3cbf0063742ebfbeea5ae034e4709bb481f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b022752431b5fe6033bfa7268730443a8c27e2fa23ccfe87a51c04b66b4503b",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1995-09-26T16:15:38Z",
    "title_canon_sha256": "59b1167aa7f5f5030ac6e1fff31186af950964b6814ad5711ed762b468a0af19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9509019",
    "kind": "arxiv",
    "version": 1
  }
}