Pith Number

pith:NZBFVWWE

pith:2010:NZBFVWWE7NUN5JELVIELQ5BYUE

not attested not anchored not stored refs pending

Steady water waves with multiple critical layers

Erik Wahl\'en, Joachim Escher, Mats Ehrnstr\"om

arxiv:1004.5227 v2 · 2010-04-29 · 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{NZBFVWWE7NUN5JELVIELQ5BYUE}

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	2026-05-18T04:25:13.301807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e425adac4fb68dea48baa08b87438a122f6738add3b5543ba0333fa5e2c07a1

Aliases

arxiv: 1004.5227 · arxiv_version: 1004.5227v2 · doi: 10.48550/arxiv.1004.5227 · pith_short_12: NZBFVWWE7NUN · pith_short_16: NZBFVWWE7NUN5JEL · pith_short_8: NZBFVWWE

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/NZBFVWWE7NUN5JELVIELQ5BYUE \
  | 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: 6e425adac4fb68dea48baa08b87438a122f6738add3b5543ba0333fa5e2c07a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9a5164a5335f78531d45dad6b4890f3668cb740b9b418503330b2f538cdfc8e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-04-29T09:26:32Z",
    "title_canon_sha256": "cac2eb219d042762855334dde21615b60ea50de5a54c56a9323300625bea658f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5227",
    "kind": "arxiv",
    "version": 2
  }
}