Pith Number

pith:PEWOF2U5

pith:2014:PEWOF2U52IE4PHB74JOXRNCDG7

not attested not anchored not stored refs pending

The Zakharov-Kuznetsov equation in weighted Sobolev spaces

Eddye Bustamante, Jorge Mej\'ia, Jos\'e Jim\'enez

arxiv:1412.3155 v2 · 2014-12-09 · 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{PEWOF2U52IE4PHB74JOXRNCDG7}

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	2026-05-18T02:31:03.551351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

792ce2ea9dd209c79c3fe25d78b44337f4097cdc1cd2c100f03a7ee3adaf26a0

Aliases

arxiv: 1412.3155 · arxiv_version: 1412.3155v2 · doi: 10.48550/arxiv.1412.3155 · pith_short_12: PEWOF2U52IE4 · pith_short_16: PEWOF2U52IE4PHB7 · pith_short_8: PEWOF2U5

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/PEWOF2U52IE4PHB74JOXRNCDG7 \
  | 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: 792ce2ea9dd209c79c3fe25d78b44337f4097cdc1cd2c100f03a7ee3adaf26a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "998eef276148ccd0b2179ebcc3f1c509770801573d7f7424b9fe752646dfcc98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-09T23:23:07Z",
    "title_canon_sha256": "ad8a5514cb69d81531f334377a1a0a4a71e6a731c79889b7f4ca7a1776d0085c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3155",
    "kind": "arxiv",
    "version": 2
  }
}