Pith Number

pith:4YLLUZCX

pith:2023:4YLLUZCXZHKP6XG2BUHEW2B4JW

not attested not anchored not stored refs pending

The stability of smooth solitary waves for the $b$-family of Camassa-Holm equations

Changjian Liu, Jichen Yang, Ji Li, Teng Long

arxiv:2311.15634 v2 · 2023-11-27 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YLLUZCXZHKP6XG2BUHEW2B4JW}

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	2026-07-05T08:05:05.941376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e616ba6457c9d4ff5cda0d0e4b683c4db9979dd893eeff0daf59ee7319844e8f

Aliases

arxiv: 2311.15634 · arxiv_version: 2311.15634v2 · doi: 10.48550/arxiv.2311.15634 · pith_short_12: 4YLLUZCXZHKP · pith_short_16: 4YLLUZCXZHKP6XG2 · pith_short_8: 4YLLUZCX

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/4YLLUZCXZHKP6XG2BUHEW2B4JW \
  | 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: e616ba6457c9d4ff5cda0d0e4b683c4db9979dd893eeff0daf59ee7319844e8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bba326c774fbf7e398ac2073264baa2deba2e3cc115cd6c6f7f28ae8981575b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-11-27T08:55:55Z",
    "title_canon_sha256": "2ffb9f16c40e15f7f8546e230766f8726d807370829c9a2e8c5f0eb4fb99e0de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.15634",
    "kind": "arxiv",
    "version": 2
  }
}