Pith Number

pith:ILMYHGKE

pith:2015:ILMYHGKECBSMYINQVJXABSEOND

not attested not anchored not stored refs pending

On the dispersionless Kadomtsev-Petviashvili equation with arbitrary nonlinearity and dimensionality: exact solutions, longtime asymptotics of the Cauchy problem, wave breaking and discontinuous shocks

F. Santucci, P. M. Santini

arxiv:1512.05187 v1 · 2015-12-16 · 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{ILMYHGKECBSMYINQVJXABSEOND}

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	2026-05-18T01:02:45.332247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d98399441064cc21b0aa6e00c88e68dc7319d8af5865e638278d6814705084

Aliases

arxiv: 1512.05187 · arxiv_version: 1512.05187v1 · doi: 10.48550/arxiv.1512.05187 · pith_short_12: ILMYHGKECBSM · pith_short_16: ILMYHGKECBSMYINQ · pith_short_8: ILMYHGKE

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/ILMYHGKECBSMYINQVJXABSEOND \
  | 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: 42d98399441064cc21b0aa6e00c88e68dc7319d8af5865e638278d6814705084

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a1b09711ba0ed16a7b0fcdd05e522993da1b0cafc9c122654ac5b870ca2311c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2015-12-16T14:31:10Z",
    "title_canon_sha256": "663655766e36443d5ae314aa3e12fc632c938662629ebe381f544b115e0b9ff0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05187",
    "kind": "arxiv",
    "version": 1
  }
}