Pith Number

pith:TPB2N4VK

pith:2016:TPB2N4VKELSFK6BXV6QZDI7NUO

not attested not anchored not stored refs pending

The Cauchy problem for higher-order modified Camassa-Holm equations on the circle

Wei Yan, Xiaoping Zhai, Yimin Zhang, Yongsheng Li

arxiv:1605.02412 v1 · 2016-05-09 · 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{TPB2N4VKELSFK6BXV6QZDI7NUO}

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	2026-05-18T01:15:21.079309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bc3a6f2aa22e4557837afa191a3eda397c0de0c565ccffb04c8eee5c60a4f34

Aliases

arxiv: 1605.02412 · arxiv_version: 1605.02412v1 · doi: 10.48550/arxiv.1605.02412 · pith_short_12: TPB2N4VKELSF · pith_short_16: TPB2N4VKELSFK6BX · pith_short_8: TPB2N4VK

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/TPB2N4VKELSFK6BXV6QZDI7NUO \
  | 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: 9bc3a6f2aa22e4557837afa191a3eda397c0de0c565ccffb04c8eee5c60a4f34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8c75092e1ed7ef9e5a61ae30e339e752e15b406cd40b893f26a8a91cb42ca32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-09T04:09:17Z",
    "title_canon_sha256": "68c55b1d5e0a2001d4620505aef785b1651d72d2caee6c925d9886966b8e419d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02412",
    "kind": "arxiv",
    "version": 1
  }
}