Pith Number

pith:5YYT3DJX

pith:2002:5YYT3DJXTH2LLYJHVMYSM3DGEI

not attested not anchored not stored refs pending

The Camassa-Holm hierarchy, related N-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold

Darryl D. Holm, Zhijun Qiao

arxiv:nlin/0202009 v3 · 2002-02-04 · nlin.SI · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5YYT3DJXTH2LLYJHVMYSM3DGEI}

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	2026-05-18T01:05:22.128359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee313d8d3799f4b5e127ab31266c6622106aa532d105413942e1dea7af828a69

Aliases

arxiv: nlin/0202009 · arxiv_version: nlin/0202009v3 · doi: 10.48550/arxiv.nlin/0202009 · pith_short_12: 5YYT3DJXTH2L · pith_short_16: 5YYT3DJXTH2LLYJH · pith_short_8: 5YYT3DJX

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/5YYT3DJXTH2LLYJHVMYSM3DGEI \
  | 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: ee313d8d3799f4b5e127ab31266c6622106aa532d105413942e1dea7af828a69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a168a57f15b743f488dff7405a51cb421d9829a81cfa878d0491bebca0e9e1e4",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "",
    "primary_cat": "nlin.SI",
    "submitted_at": "2002-02-04T17:12:26Z",
    "title_canon_sha256": "14416b6c61659e4b2f6cd4baa80740fc4063b2d41badf471231d6dcc61f3afab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0202009",
    "kind": "arxiv",
    "version": 3
  }
}