Pith Number

pith:LTDEXLBR

pith:2026:LTDEXLBRFZHBSD4U6HQO6EHQ2E

not attested not anchored not stored refs pending

Global Existence of Weak Martingale Solutions to the Camassa-Holm Equation with Linear Multiplicative Noise

Pei Zheng, Wei Luo, Zhaoyang Yin

arxiv:2607.01645 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{LTDEXLBRFZHBSD4U6HQO6EHQ2E}

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	2026-07-03T01:17:04.357654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cc64bac312e4e190f94f1e0ef10f0d11c5264ea295795752ae27f84c8875c12

Aliases

arxiv: 2607.01645 · arxiv_version: 2607.01645v1 · doi: 10.48550/arxiv.2607.01645 · pith_short_12: LTDEXLBRFZHB · pith_short_16: LTDEXLBRFZHBSD4U · pith_short_8: LTDEXLBR

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/LTDEXLBRFZHBSD4U6HQO6EHQ2E \
  | 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: 5cc64bac312e4e190f94f1e0ef10f0d11c5264ea295795752ae27f84c8875c12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20285b319029b0efd93e183877426e8102273296f73f3b4871394a4c974f9e4b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-02T03:17:44Z",
    "title_canon_sha256": "49108f4b03dd4e9b441d55b97990cc554040062183dc19cd8b26bee00d7691e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01645",
    "kind": "arxiv",
    "version": 1
  }
}