Pith Number

pith:PJBGPTEB

pith:2026:PJBGPTEBOH24WT26U7K5IHDPJR

not attested not anchored not stored refs pending

Extended group analysis and conservation laws of a class of variable coefficient generalized Kawahara equations

Alexander Zhalij, Oksana Brahinets, Olena Magda, Olena Vaneeva

arxiv:2607.09482 v1 · 2026-07-10 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJBGPTEBOH24WT26U7K5IHDPJR}

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	2026-07-13T01:20:13.123198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a4267cc8171f5cb4f5ea7d5d41c6f4c73763e20ab1e4354ef0d2dca0ea059a6

Aliases

arxiv: 2607.09482 · arxiv_version: 2607.09482v1 · doi: 10.48550/arxiv.2607.09482 · pith_short_12: PJBGPTEBOH24 · pith_short_16: PJBGPTEBOH24WT26 · pith_short_8: PJBGPTEB

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/PJBGPTEBOH24WT26U7K5IHDPJR \
  | 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: 7a4267cc8171f5cb4f5ea7d5d41c6f4c73763e20ab1e4354ef0d2dca0ea059a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "406b5107a842a3dd6260afd88e24b44c4c70e2b4a63a0e62fde95b386bce66f1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-10T14:59:12Z",
    "title_canon_sha256": "f00bf486ef23a16a4ad64cc4e0f23e96b25c1cd309bc7822814ebbb226e2c635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09482",
    "kind": "arxiv",
    "version": 1
  }
}