Pith Number

pith:MLRCRGNY

pith:2012:MLRCRGNY7SBWCAW4AD6LEBAVD2

not attested not anchored not stored refs pending

Special solutions to a compact equation for deep-water gravity waves

Denys Dutykh (LAMA), Francesco Fedele (ECE GeorgiaTech)

arxiv:1204.2889 v3 · 2012-04-13 · physics.class-ph · cs.NA · math.AP · math.NA · physics.ao-ph · physics.comp-ph · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MLRCRGNY7SBWCAW4AD6LEBAVD2}

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	2026-06-03T23:07:17.380562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62e22899b8fc836102dc00fcb204151e8bb0a40535ba3a9a2fb4ed1da37cd503

Aliases

arxiv: 1204.2889 · arxiv_version: 1204.2889v3 · doi: 10.48550/arxiv.1204.2889 · pith_short_12: MLRCRGNY7SBW · pith_short_16: MLRCRGNY7SBWCAW4 · pith_short_8: MLRCRGNY

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/MLRCRGNY7SBWCAW4AD6LEBAVD2 \
  | 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: 62e22899b8fc836102dc00fcb204151e8bb0a40535ba3a9a2fb4ed1da37cd503

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f331105ca0dfd01eded869f4bad68a630d3e2a47f8b407a657cea42d9ae39974",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "math.NA",
      "physics.ao-ph",
      "physics.comp-ph",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2012-04-13T06:28:23Z",
    "title_canon_sha256": "f1b9585ff6f38515452d98b44a82e548c96712b439a775ae5bd4483ab041fe7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2889",
    "kind": "arxiv",
    "version": 3
  }
}