Pith Number

pith:VUPCUTCC

pith:2016:VUPCUTCCLKL2MZIGHYLV7QLHKL

not attested not anchored not stored refs pending

Global solutions of the gravity-capillary water-wave system in three dimensions

A. D. Ionescu, B. Pausader, F. Pusateri, Y. Deng

arxiv:1601.05685 v2 · 2016-01-21 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUPCUTCCLKL2MZIGHYLV7QLHKL}

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	2026-05-18T00:15:05.802904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad1e2a4c425a97a665063e175fc16752e81dfba2082e20697e1041b2509155ce

Aliases

arxiv: 1601.05685 · arxiv_version: 1601.05685v2 · doi: 10.48550/arxiv.1601.05685 · pith_short_12: VUPCUTCCLKL2 · pith_short_16: VUPCUTCCLKL2MZIG · pith_short_8: VUPCUTCC

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/VUPCUTCCLKL2MZIGHYLV7QLHKL \
  | 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: ad1e2a4c425a97a665063e175fc16752e81dfba2082e20697e1041b2509155ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "665dd2a9e7c222b757daa74f1d20104c71284bfb621ddbc3fa1e4e9be01b8d45",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-21T15:49:20Z",
    "title_canon_sha256": "c44e3e8378b01c90eb1b5b6958edae3e03382588398695da0e3f4697ba714ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05685",
    "kind": "arxiv",
    "version": 2
  }
}