Pith Number

pith:HYG5ZPMC

pith:2020:HYG5ZPMCIN5VWFEFZVI2YF2D2W

not attested not anchored not stored refs pending

The quartic integrability and long time existence of steep water waves in 2D

Sijue Wu

arxiv:2010.09117 v2 · 2020-10-18 · 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{HYG5ZPMCIN5VWFEFZVI2YF2D2W}

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

Quasi-resonant normal form and quadratic lifespan for 3D gravity-capillary water waves

Receipt and verification

First computed	2026-07-05T02:33:21.163353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e0ddcbd82437b5b1485cd51ac1743d5b21a5d30288a6e205f5685dda6e836ac

Aliases

arxiv: 2010.09117 · arxiv_version: 2010.09117v2 · doi: 10.48550/arxiv.2010.09117 · pith_short_12: HYG5ZPMCIN5V · pith_short_16: HYG5ZPMCIN5VWFEF · pith_short_8: HYG5ZPMC

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/HYG5ZPMCIN5VWFEFZVI2YF2D2W \
  | 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: 3e0ddcbd82437b5b1485cd51ac1743d5b21a5d30288a6e205f5685dda6e836ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "143f1faacde6a51339d09d72d360c04495e5fa10d57734ceffb07e79241d758e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-10-18T21:58:59Z",
    "title_canon_sha256": "8c5817fc16f8971e8f2c49d7b14bbdcb6816cce998bcaf61aa92355823516582"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.09117",
    "kind": "arxiv",
    "version": 2
  }
}