Pith Number

pith:3532EWN4

pith:2012:3532EWN4MMDLHUBNN2CTCLGG6O

not attested not anchored not stored refs pending

Dispersion equation for water waves with vorticity and Stokes waves on flows with counter-currents

Nikolay Kuznetsov, Vladimir Kozlov

arxiv:1207.5181 v5 · 2012-07-21 · 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{3532EWN4MMDLHUBNN2CTCLGG6O}

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	2026-05-18T02:50:24.492914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df77a259bc6306b3d02d6e85312cc6f3bbaf9546b606b221ccc97cb1a66a4d93

Aliases

arxiv: 1207.5181 · arxiv_version: 1207.5181v5 · doi: 10.48550/arxiv.1207.5181 · pith_short_12: 3532EWN4MMDL · pith_short_16: 3532EWN4MMDLHUBN · pith_short_8: 3532EWN4

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/3532EWN4MMDLHUBNN2CTCLGG6O \
  | 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: df77a259bc6306b3d02d6e85312cc6f3bbaf9546b606b221ccc97cb1a66a4d93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f078eb7f2d6d62808924028d663cbfc2a2f153863c6610adc35ba6de378d18b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-21T21:22:57Z",
    "title_canon_sha256": "c9ddf0b81f559280b2e23e5819bfcd116641e793a5b33400c5c3d80ea77f1172"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5181",
    "kind": "arxiv",
    "version": 5
  }
}