Pith Number

pith:ZNOSOLBC

pith:2018:ZNOSOLBCACVKB5Z6NU6SPTNTCU

not attested not anchored not stored refs pending

Global small solution and optimal decay rate for the Korteweg system in Besov spaces

Jinlu Li, Weipeng Zhu, Yanghai Yu

arxiv:1808.01807 v2 · 2018-08-06 · 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{ZNOSOLBCACVKB5Z6NU6SPTNTCU}

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	2026-05-18T00:07:57.978192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb5d272c2200aaa0f73e6d3d27cdb3150500e3356bad468cf2a3362971d06a91

Aliases

arxiv: 1808.01807 · arxiv_version: 1808.01807v2 · doi: 10.48550/arxiv.1808.01807 · pith_short_12: ZNOSOLBCACVK · pith_short_16: ZNOSOLBCACVKB5Z6 · pith_short_8: ZNOSOLBC

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/ZNOSOLBCACVKB5Z6NU6SPTNTCU \
  | 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: cb5d272c2200aaa0f73e6d3d27cdb3150500e3356bad468cf2a3362971d06a91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46832a6cdb7abfb3b9bf59bc62b534bc4ef4e9e0f64da5358ac21ebf3af385d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-06T10:10:56Z",
    "title_canon_sha256": "1b333b4ae6ed6fe195f28aa326da0728eed22d83efdc141a722a0fe6a974a94a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01807",
    "kind": "arxiv",
    "version": 2
  }
}