Pith Number

pith:U6HR22X7

pith:2026:U6HR22X7J75RHZWHUHDHPQXPXR

not attested not anchored not stored refs pending

Neighboring seeds in affine type: Universal coefficients and finite mutation-type

Nathan Reading, Salvatore Stella

arxiv:2607.26130 v1 · 2026-07-28 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U6HR22X7J75RHZWHUHDHPQXPXR}

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	2026-07-30T00:08:25.982124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

a78f1d6aff4ffb13e6c7a1c677c2efbc543cd875db2fc08216e5149fb1b172a3

Aliases

arxiv: 2607.26130 · arxiv_version: 2607.26130v1 · doi: 10.48550/arxiv.2607.26130 · pith_short_12: U6HR22X7J75R · pith_short_16: U6HR22X7J75RHZWH · pith_short_8: U6HR22X7

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/U6HR22X7J75RHZWHUHDHPQXPXR \
  | 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: a78f1d6aff4ffb13e6c7a1c677c2efbc543cd875db2fc08216e5149fb1b172a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c149f66ebfe9e58f5e0b23c8431be30867f49deb0bb806ebf54c9c06bf6acb7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-28T18:00:01Z",
    "title_canon_sha256": "16895ef5f2a8803f053dc4f462a63fc1d2395478674117da5ea1fdb2e3be1ed0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26130",
    "kind": "arxiv",
    "version": 1
  }
}