Pith Number

pith:JK2V36DK

pith:2022:JK2V36DKKBM57WERMPHIJGNBBN

not attested not anchored not stored refs pending

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

Changjian Liu, Teng Long

arxiv:2210.00172 v2 · 2022-10-01 · math.AP · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JK2V36DKKBM57WERMPHIJGNBBN}

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	2026-07-05T05:43:57.647876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ab55df86a5059dfd89163ce8499a10b6c5b0f8f56ae7aeb9adb5d1c24d530fa

Aliases

arxiv: 2210.00172 · arxiv_version: 2210.00172v2 · doi: 10.48550/arxiv.2210.00172 · pith_short_12: JK2V36DKKBM5 · pith_short_16: JK2V36DKKBM57WER · pith_short_8: JK2V36DK

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/JK2V36DKKBM57WERMPHIJGNBBN \
  | 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: 4ab55df86a5059dfd89163ce8499a10b6c5b0f8f56ae7aeb9adb5d1c24d530fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55fb7854c557a9efdd50ff377950bd16dc5f283ca4336b35e5ad8d6b25200a8b",
    "cross_cats_sorted": [
      "math.CA",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-10-01T02:45:27Z",
    "title_canon_sha256": "c106cf697f6303067d16383ea94e42fbfa5260d54c7d4d45cee890f991f71d51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.00172",
    "kind": "arxiv",
    "version": 2
  }
}