pith. sign in
Pith Number

pith:VEX4M32J

pith:2016:VEX4M32JAJSYFI5OF2ZWE55GAG
not attested not anchored not stored refs pending

The Cauchy problem for the shallow water typ equations in low regularity spaces on the circle

Wei Yan, Xiaoping Zhai, Yimin Zhang, Yongsheng Li

arxiv:1602.04533 v1 · 2016-02-15 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VEX4M32JAJSYFI5OF2ZWE55GAG}

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 2026-05-18T01:20:23.812610Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a92fc66f49026582a3ae2eb36277a60184fea7608b8a0c1bcca0d164b3aa94b3

Aliases

arxiv: 1602.04533 · arxiv_version: 1602.04533v1 · doi: 10.48550/arxiv.1602.04533 · pith_short_12: VEX4M32JAJSY · pith_short_16: VEX4M32JAJSYFI5O · pith_short_8: VEX4M32J
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VEX4M32JAJSYFI5OF2ZWE55GAG \
  | 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: a92fc66f49026582a3ae2eb36277a60184fea7608b8a0c1bcca0d164b3aa94b3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "09c34ef77b5eb503ef8963a8b9477156ae7a57f845201ae30a3a7eb648f7be6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-15T00:50:00Z",
    "title_canon_sha256": "cdd2616169a2fedec8ce971f4054d42d58fe8e8cb8a33e3b1fa452fe214c2570"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04533",
    "kind": "arxiv",
    "version": 1
  }
}