Pith Number

pith:KCM346KK

pith:2026:KCM346KKFSRNBZQZGDKBEN7IN5

not attested not anchored not stored refs pending

Electrical networks, Grassmannians, and cluster algebras

A. Kazakov, B. Bychkov, L. Guterman

arxiv:2607.09975 v1 · 2026-07-10 · math.CO · math-ph · math.AG · 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{KCM346KKFSRNBZQZGDKBEN7IN5}

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	2026-07-14T00:18:45.580493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5099be794a2ca2d0e61930d41237e86f7236fdf4ddf5c002b02ae1085eb08f27

Aliases

arxiv: 2607.09975 · arxiv_version: 2607.09975v1 · doi: 10.48550/arxiv.2607.09975 · pith_short_12: KCM346KKFSRN · pith_short_16: KCM346KKFSRNBZQZ · pith_short_8: KCM346KK

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/KCM346KKFSRNBZQZGDKBEN7IN5 \
  | 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: 5099be794a2ca2d0e61930d41237e86f7236fdf4ddf5c002b02ae1085eb08f27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7d919a88420f065f674f2dcdbc19d825ebd040a42069754bf00f9c3fe8893db",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-10T21:05:07Z",
    "title_canon_sha256": "5f57c97cebd45fbb1ae013e8b4fc197c2d666eb276244f6bbc344b536f1492c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09975",
    "kind": "arxiv",
    "version": 1
  }
}