Pith Number

pith:ADY2OT4J

pith:2012:ADY2OT4JOJMG4FRTRB4AQPWMKO

not attested not anchored not stored refs pending

The Cauchy problem for the Euler-Poisson system and derivation of the Zakharov-Kuznetsov equation

David Lannes, Felipe Linares, Jean-Claude Saut

arxiv:1205.5080 v1 · 2012-05-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ADY2OT4JOJMG4FRTRB4AQPWMKO}

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	2026-05-18T03:55:02.281134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00f1a74f8972586e16338878083ecc53a3cda64db2ed45d6b6df89e6168e02c7

Aliases

arxiv: 1205.5080 · arxiv_version: 1205.5080v1 · doi: 10.48550/arxiv.1205.5080 · pith_short_12: ADY2OT4JOJMG · pith_short_16: ADY2OT4JOJMG4FRT · pith_short_8: ADY2OT4J

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/ADY2OT4JOJMG4FRTRB4AQPWMKO \
  | 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: 00f1a74f8972586e16338878083ecc53a3cda64db2ed45d6b6df89e6168e02c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a70ff1ac3d977375654ed99db67ac06ab1ec61b34052328116f412d9d664fd0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-23T01:10:41Z",
    "title_canon_sha256": "8ef983a86bfaabcbee404a661320fb2fefcec74b4649ec589e1460e6eea910ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5080",
    "kind": "arxiv",
    "version": 1
  }
}