Pith Number

pith:TTI45ALW

pith:2018:TTI45ALWQHR6AGPYZAUJGJCWPQ

not attested not anchored not stored refs pending

On the periodic Zakharov-Kuznetsov equation

Felipe Linares, Mahendra Panthee, Nikolay Tzvetkov, Tristan Robert

arxiv:1809.02027 v1 · 2018-09-06 · 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{TTI45ALWQHR6AGPYZAUJGJCWPQ}

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	2026-05-18T00:06:21.503203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cd1ce817681e3e019f8c8289324567c02789c0834fc9371e00e46e352309820

Aliases

arxiv: 1809.02027 · arxiv_version: 1809.02027v1 · doi: 10.48550/arxiv.1809.02027 · pith_short_12: TTI45ALWQHR6 · pith_short_16: TTI45ALWQHR6AGPY · pith_short_8: TTI45ALW

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/TTI45ALWQHR6AGPYZAUJGJCWPQ \
  | 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: 9cd1ce817681e3e019f8c8289324567c02789c0834fc9371e00e46e352309820

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74ab3849897af17f81ca9e648e0f5c18bd99ee37d67ba97404ad6d8f25491cb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-06T14:55:06Z",
    "title_canon_sha256": "6e05263e20c67e4ab714590cf2a703267ce0640f409201732455f4c914bcefad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02027",
    "kind": "arxiv",
    "version": 1
  }
}