Pith Number

pith:I6AWN7QU

pith:2017:I6AWN7QUME5NWIZ5VEUYTJG2FA

not attested not anchored not stored refs pending

Whitham modulation theory for (2+1)-dimensional equations of Kadomtsev-Petviashvili type

Gino Biondini, Igor Rumanov, Mark J. Ablowitz

arxiv:1711.03686 v1 · 2017-11-10 · nlin.PS · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6AWN7QUME5NWIZ5VEUYTJG2FA}

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	2026-05-18T00:10:28.369488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

478166fe14613adb233da92989a4da283869a7a0826400de4d872ad5a7e0cf7b

Aliases

arxiv: 1711.03686 · arxiv_version: 1711.03686v1 · doi: 10.48550/arxiv.1711.03686 · pith_short_12: I6AWN7QUME5N · pith_short_16: I6AWN7QUME5NWIZ5 · pith_short_8: I6AWN7QU

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/I6AWN7QUME5NWIZ5VEUYTJG2FA \
  | 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: 478166fe14613adb233da92989a4da283869a7a0826400de4d872ad5a7e0cf7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dd003cc8a62f26b9af292e7d624f739befb0c8fab38b853149f36f68c8bc108",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2017-11-10T04:28:57Z",
    "title_canon_sha256": "642ef3da9b0088cce026c015f6cb8140ec89b81a15216b2d35e74e916ea1a873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03686",
    "kind": "arxiv",
    "version": 1
  }
}