Pith Number

pith:VZK5TRKJ

pith:2012:VZK5TRKJQZGAYYIWDDACM2YC4C

not attested not anchored not stored refs pending

Multi-component Wronskian solution to the Kadomtsev-Petviashvili equation

Fu-Wei Sun, Juan Li, Tao Xu, Yi Zhang

arxiv:1208.1570 v1 · 2012-08-08 · 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{VZK5TRKJQZGAYYIWDDACM2YC4C}

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	2026-05-18T03:49:11.170924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae55d9c549864c0c611618c0266b02e082f79cbba0196ff79abc4bfaf57d72b6

Aliases

arxiv: 1208.1570 · arxiv_version: 1208.1570v1 · doi: 10.48550/arxiv.1208.1570 · pith_short_12: VZK5TRKJQZGA · pith_short_16: VZK5TRKJQZGAYYIW · pith_short_8: VZK5TRKJ

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/VZK5TRKJQZGAYYIWDDACM2YC4C \
  | 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: ae55d9c549864c0c611618c0266b02e082f79cbba0196ff79abc4bfaf57d72b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7916e0319e23d59addeed8fcd9c52538e14f96a58c1e5cc58c30fd4294cfc77",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-08T03:33:22Z",
    "title_canon_sha256": "ad98e54319438bbef00b253a023eae130192ff577d61e769e08b05e7f31e1c45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1570",
    "kind": "arxiv",
    "version": 1
  }
}