Pith Number

pith:SH56I4CM

pith:2009:SH56I4CM2LVRH4JCGFSTZVHJKI

not attested not anchored not stored refs pending

Positive-Entropy Integrable Systems and the Toda Lattice, II

Leo T. Butler

arxiv:0906.1762 v2 · 2009-06-09 · nlin.SI · 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{SH56I4CM2LVRH4JCGFSTZVHJKI}

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	2026-05-18T02:13:21.190028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91fbe4704cd2eb13f12231653cd4e95215abe22ad425da8a8e5d2646745b513e

Aliases

arxiv: 0906.1762 · arxiv_version: 0906.1762v2 · doi: 10.48550/arxiv.0906.1762 · pith_short_12: SH56I4CM2LVR · pith_short_16: SH56I4CM2LVRH4JC · pith_short_8: SH56I4CM

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/SH56I4CM2LVRH4JCGFSTZVHJKI \
  | 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: 91fbe4704cd2eb13f12231653cd4e95215abe22ad425da8a8e5d2646745b513e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2ecf4c4bb053406ce92fccc7d27be0aca9ecd510d00d71943555d55596a6dcd",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2009-06-09T15:42:06Z",
    "title_canon_sha256": "c67cc1097dd236d06ff1c3d2aa21518b44167a8bc40d35f7bee793e0ad6d884d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1762",
    "kind": "arxiv",
    "version": 2
  }
}