Pith Number

pith:VUK5Q7EF

pith:2014:VUK5Q7EF7ADP4CB4QZCZM7JBQ6

not attested not anchored not stored refs pending

Well-posedness and global existence of 2D viscous shallow water system in Besov spaces

Yanan Liu, Zhaoyang Yin

arxiv:1402.4923 v3 · 2014-02-20 · 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{VUK5Q7EF7ADP4CB4QZCZM7JBQ6}

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	2026-05-18T02:32:38.899109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad15d87c85f806fe083c8645967d2187880ef80392613cd7c9a5e9ae651d0179

Aliases

arxiv: 1402.4923 · arxiv_version: 1402.4923v3 · doi: 10.48550/arxiv.1402.4923 · pith_short_12: VUK5Q7EF7ADP · pith_short_16: VUK5Q7EF7ADP4CB4 · pith_short_8: VUK5Q7EF

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/VUK5Q7EF7ADP4CB4QZCZM7JBQ6 \
  | 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: ad15d87c85f806fe083c8645967d2187880ef80392613cd7c9a5e9ae651d0179

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a1b6194d6a1e0af20230c5fdddba24cb67d49af5e702cb6fab31417aeaf99d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-20T08:12:02Z",
    "title_canon_sha256": "64d71282ae635993e35f2f34a592478bf7628f5ad7c15cd63d9487ec5a28ac9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4923",
    "kind": "arxiv",
    "version": 3
  }
}