Pith Number

pith:4QXSNTUI

pith:2015:4QXSNTUICPSMA6SBTIDYV42RGO

not attested not anchored not stored refs pending

On critical behaviour in generalized Kadomtsev--Petviashvili equations

Boris Dubrovin, Christian Klein, Tamara Grava

arxiv:1510.01580 v1 · 2015-10-06 · math-ph · math.AP · 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{4QXSNTUICPSMA6SBTIDYV42RGO}

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	2026-05-18T01:11:27.177279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e42f26ce8813e4c07a419a078af35133a85b6390dabefc88fee260b4b76f4679

Aliases

arxiv: 1510.01580 · arxiv_version: 1510.01580v1 · doi: 10.48550/arxiv.1510.01580 · pith_short_12: 4QXSNTUICPSM · pith_short_16: 4QXSNTUICPSMA6SB · pith_short_8: 4QXSNTUI

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/4QXSNTUICPSMA6SBTIDYV42RGO \
  | 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: e42f26ce8813e4c07a419a078af35133a85b6390dabefc88fee260b4b76f4679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9f91aecd75ffb705c46333f9c7f3083656f26c01faf9e8388c15be33d4ddf2c",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-10-06T14:06:23Z",
    "title_canon_sha256": "18bbc78386a1df61e0cae1977884035e19e2c35dbd0319ba5670b518dac110b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01580",
    "kind": "arxiv",
    "version": 1
  }
}