Pith Number

pith:ZCLXMB72

pith:2026:ZCLXMB72ENB62G7C4FK47MR3CQ

not attested not anchored not stored refs pending

Local existence of strong solutions to the capillary wave kinetic equation

Jiajun Wang

arxiv:2607.04263 v1 · 2026-07-05 · 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{ZCLXMB72ENB62G7C4FK47MR3CQ}

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	2026-07-07T02:19:05.991737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8977607fa2343ed1be2e155cfb23b141c7fbb0ea99ba6cc6dbd70f0cf59bbd0

Aliases

arxiv: 2607.04263 · arxiv_version: 2607.04263v1 · doi: 10.48550/arxiv.2607.04263 · pith_short_12: ZCLXMB72ENB6 · pith_short_16: ZCLXMB72ENB62G7C · pith_short_8: ZCLXMB72

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/ZCLXMB72ENB62G7C4FK47MR3CQ \
  | 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: c8977607fa2343ed1be2e155cfb23b141c7fbb0ea99ba6cc6dbd70f0cf59bbd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c91766c948241515da7bfe7ec679d92bc015450c7905b7cf9317b3ef502658c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-05T12:20:07Z",
    "title_canon_sha256": "afaa7205e1dedf40648242c91af5bbee6ece8bdd63be334f1e5c54202dcf72a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04263",
    "kind": "arxiv",
    "version": 1
  }
}