Pith Number

pith:XL35ROIV

pith:2013:XL35ROIVW4BTBYV4O3L4M5PSCI

not attested not anchored not stored refs pending

Bilinear Strichartz estimates for the Zakharov-Kuznetsov equation and applications

Didier Pilod, Luc Molinet

arxiv:1302.2933 v2 · 2013-02-12 · 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{XL35ROIVW4BTBYV4O3L4M5PSCI}

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	2026-05-18T03:32:07.335778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baf7d8b915b70330e2bc76d7c675f2121cc9feb2e54a83f977a1577c34508988

Aliases

arxiv: 1302.2933 · arxiv_version: 1302.2933v2 · doi: 10.48550/arxiv.1302.2933 · pith_short_12: XL35ROIVW4BT · pith_short_16: XL35ROIVW4BTBYV4 · pith_short_8: XL35ROIV

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/XL35ROIVW4BTBYV4O3L4M5PSCI \
  | 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: baf7d8b915b70330e2bc76d7c675f2121cc9feb2e54a83f977a1577c34508988

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d08faacf167d27483d87b1ac19123a860630521465ff2a59ef2ec7d93eb376",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-12T21:55:34Z",
    "title_canon_sha256": "47db34f4334c7f99bfe632cfa2cc49084648cfb9e32ff687f54da9ad21ac808d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2933",
    "kind": "arxiv",
    "version": 2
  }
}