Pith Number

pith:LZP5PKXK

pith:2026:LZP5PKXKTLGVWGNF4JRJF52TBD

not attested not anchored not stored refs pending

Invariant Measure of the Camassa-Holm Equation with Linear Multiplicative Noise

Pei Zheng, Wei Luo, Zhaoyang Yin

arxiv:2607.01611 v1 · 2026-07-02 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZP5PKXKTLGVWGNF4JRJF52TBD}

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	2026-07-03T01:17:03.319950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e5fd7aaea9acd5b19a5e26292f75308c507ed80efb102d3ba68e769bf55f637

Aliases

arxiv: 2607.01611 · arxiv_version: 2607.01611v1 · doi: 10.48550/arxiv.2607.01611 · pith_short_12: LZP5PKXKTLGV · pith_short_16: LZP5PKXKTLGVWGNF · pith_short_8: LZP5PKXK

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/LZP5PKXKTLGVWGNF4JRJF52TBD \
  | 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: 5e5fd7aaea9acd5b19a5e26292f75308c507ed80efb102d3ba68e769bf55f637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c01598e2252e750f1096e9d47b28b0e364cb6093db33e3128b3cd6b23375890e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-02T02:29:01Z",
    "title_canon_sha256": "fd2c93f23e4a4e4a3f582767f430ce9ac7e08ad4e423fd851fa29d6ce406fa79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01611",
    "kind": "arxiv",
    "version": 1
  }
}