Pith Number

pith:OA6GNW5F

pith:2025:OA6GNW5FFV252PFD7YE2PGHAWF

not attested not anchored not stored refs pending

Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory

Sofia Franchini

arxiv:2508.13137 v1 · 2025-08-18 · 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{OA6GNW5FFV252PFD7YE2PGHAWF}

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	2026-07-05T11:55:32.904495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

703c66dba52d75dd3ca3fe09a798e0b150c2f12b35ca2ca07b920ddc97780dc9

Aliases

arxiv: 2508.13137 · arxiv_version: 2508.13137v1 · doi: 10.48550/arxiv.2508.13137 · pith_short_12: OA6GNW5FFV25 · pith_short_16: OA6GNW5FFV252PFD · pith_short_8: OA6GNW5F

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/OA6GNW5FFV252PFD7YE2PGHAWF \
  | 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: 703c66dba52d75dd3ca3fe09a798e0b150c2f12b35ca2ca07b920ddc97780dc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b52b756f92ce5e46d319f620354ead574bc4d7446b04368bd36cdf6e81d2542",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-08-18T17:50:17Z",
    "title_canon_sha256": "edf5e041c6323daecc0d3070c232ffe5b30904c6f510e2a94b33ce42fe177956"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.13137",
    "kind": "arxiv",
    "version": 1
  }
}