Pith Number

pith:NXJKBP75

pith:2023:NXJKBP75WTJVJ4A4JKLMDVXXAV

not attested not anchored not stored refs pending

Para-differential Calculus on Compact Lie Groups and Spherical Capillary Water Waves

Chengyang Shao

arxiv:2304.10519 v3 · 2023-04-20 · 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{NXJKBP75WTJVJ4A4JKLMDVXXAV}

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.

Cited by

1 paper in Pith

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions

Receipt and verification

First computed	2026-07-05T06:59:21.121359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dd2a0bffdb4d354f01c4a96c1d6f7056e375505828f4ef3cafe219f8a0b7899

Aliases

arxiv: 2304.10519 · arxiv_version: 2304.10519v3 · doi: 10.48550/arxiv.2304.10519 · pith_short_12: NXJKBP75WTJV · pith_short_16: NXJKBP75WTJVJ4A4 · pith_short_8: NXJKBP75

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/NXJKBP75WTJVJ4A4JKLMDVXXAV \
  | 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: 6dd2a0bffdb4d354f01c4a96c1d6f7056e375505828f4ef3cafe219f8a0b7899

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54d861c80fa156c8a79f86c860ddb23f8c60d8ff7eb9254e4d1b6f2349fceb18",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-04-20T17:50:44Z",
    "title_canon_sha256": "3fe995b400c421da47862e0352bfcd45bf383b01d5ab9e9671ee27fcdf4be2e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.10519",
    "kind": "arxiv",
    "version": 3
  }
}