Pith Number

pith:Z6OK42G3

pith:2011:Z6OK42G3QINNMWNFVS6STQVGUB

not attested not anchored not stored refs pending

On the Cauchy problem for the integrable Camassa-Holm type equation with cubic nonlinearity

Changzheng Qu, Guilong Gui, Ying Fu, Yue Liu

arxiv:1108.5368 v3 · 2011-08-26 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6OK42G3QINNMWNFVS6STQVGUB}

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	2026-05-18T03:47:01.391236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf9cae68db821ad659a5acbd29c2a6a05bfbfc986e0aa07724c92325197242f3

Aliases

arxiv: 1108.5368 · arxiv_version: 1108.5368v3 · doi: 10.48550/arxiv.1108.5368 · pith_short_12: Z6OK42G3QINN · pith_short_16: Z6OK42G3QINNMWNF · pith_short_8: Z6OK42G3

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/Z6OK42G3QINNMWNFVS6STQVGUB \
  | 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: cf9cae68db821ad659a5acbd29c2a6a05bfbfc986e0aa07724c92325197242f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b85edab73da4f5617f0cec8693f47f48287f2c10d31e9138391c04cd402c647f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-26T18:40:43Z",
    "title_canon_sha256": "ad40ef0d8ebcc2cb208924f669dbeea1aa8ba50780ecea0366c1d5f11e25d813"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5368",
    "kind": "arxiv",
    "version": 3
  }
}