Pith Number

pith:M6JKY3IX

pith:2026:M6JKY3IX33LN4H6ERTATAC5KCB

not attested not anchored not stored refs pending

Exponential mixing for Korteweg-de Vries equation with localized noise

Jia-Cheng Zhao, Shengquan Xiang, Yuxuan Chen, Zhifei Zhang

arxiv:2608.01863 v1 · 2026-08-03 · math.AP · math.DS · math.OC · 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{M6JKY3IX33LN4H6ERTATAC5KCB}

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	2026-08-04T02:07:29.485165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6792ac6d17ded6de1fc48cc1300baa10788d68cc858e76d4a823e7de5884164d

Aliases

arxiv: 2608.01863 · arxiv_version: 2608.01863v1 · doi: 10.48550/arxiv.2608.01863 · pith_short_12: M6JKY3IX33LN · pith_short_16: M6JKY3IX33LN4H6E · pith_short_8: M6JKY3IX

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/M6JKY3IX33LN4H6ERTATAC5KCB \
  | 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: 6792ac6d17ded6de1fc48cc1300baa10788d68cc858e76d4a823e7de5884164d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b3c579d42f08586f79e315ba4bc4cc77e4de4ef9ff1e841a2bac240b2cb0eab",
    "cross_cats_sorted": [
      "math.DS",
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-08-03T08:12:34Z",
    "title_canon_sha256": "e21fcb30f7cb589d68252e1c359a6ad9905f5b6131b123d03b3dab2ebfd8a1bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01863",
    "kind": "arxiv",
    "version": 1
  }
}