Pith Number

pith:7STBCU62

pith:2016:7STBCU623JGXKB2HBZ3YM5JWPT

not attested not anchored not stored refs pending

Whitham modulation theory for the Kadomtsev-Petviashvili equation

Gino Biondini, Mark J. Ablowitz, Qiao Wang

arxiv:1610.03478 v2 · 2016-10-11 · nlin.SI · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7STBCU623JGXKB2HBZ3YM5JWPT}

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	2026-05-18T00:38:21.176426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fca61153dada4d7507470e778675367cd5ba460c7b2bab50c7608d85b2b47578

Aliases

arxiv: 1610.03478 · arxiv_version: 1610.03478v2 · doi: 10.48550/arxiv.1610.03478 · pith_short_12: 7STBCU623JGX · pith_short_16: 7STBCU623JGXKB2H · pith_short_8: 7STBCU62

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/7STBCU623JGXKB2HBZ3YM5JWPT \
  | 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: fca61153dada4d7507470e778675367cd5ba460c7b2bab50c7608d85b2b47578

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2406715f52e54d946721b10a76f1a7fdd59730b06dfe324e98c23c13d9cc2677",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2016-10-11T19:52:30Z",
    "title_canon_sha256": "7cb6f8ad6b0ed1cde22a455861ace252852b8e0d8928db0fdea5f56d9f572cd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03478",
    "kind": "arxiv",
    "version": 2
  }
}