Pith Number

pith:4Q2DHAMP

pith:2018:4Q2DHAMPXLYZE2A5TWFTDJD2E6

not attested not anchored not stored refs pending

Center stable manifolds around line solitary waves of the Zakharov--Kuznetsov equation

Yohei Yamazaki

arxiv:1808.07315 v1 · 2018-08-22 · 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{4Q2DHAMPXLYZE2A5TWFTDJD2E6}

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	2026-05-18T00:07:29.206736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e43433818fbaf192681d9d8b31a47a27b6413316107672fba51fc0e9517a836b

Aliases

arxiv: 1808.07315 · arxiv_version: 1808.07315v1 · doi: 10.48550/arxiv.1808.07315 · pith_short_12: 4Q2DHAMPXLYZ · pith_short_16: 4Q2DHAMPXLYZE2A5 · pith_short_8: 4Q2DHAMP

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/4Q2DHAMPXLYZE2A5TWFTDJD2E6 \
  | 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: e43433818fbaf192681d9d8b31a47a27b6413316107672fba51fc0e9517a836b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee0cc8815fbc88d04e3a13c2cd682c50b49661a4ba91952cdcbf69a71e9a967b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-22T11:25:54Z",
    "title_canon_sha256": "5584ecc9621d204c13cb2029c7b08b7cfa1202b053b21fe9eb76e6eb98aac74b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07315",
    "kind": "arxiv",
    "version": 1
  }
}