Pith Number

pith:JOEH7PT6

pith:2025:JOEH7PT6M2Y2VQCKF7FFRPE4XX

not attested not anchored not stored refs pending

A multiplication formula for cluster characters in gentle algebras

Azzurra Ciliberti

arxiv:2502.06410 v4 · 2025-02-10 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOEH7PT6M2Y2VQCKF7FFRPE4XX}

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	2026-07-05T12:06:05.705963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b887fbe7e66b1aac04a2fca58bc9cbdc210a53449fa94f144be37f90f1a6a29

Aliases

arxiv: 2502.06410 · arxiv_version: 2502.06410v4 · doi: 10.48550/arxiv.2502.06410 · pith_short_12: JOEH7PT6M2Y2 · pith_short_16: JOEH7PT6M2Y2VQCK · pith_short_8: JOEH7PT6

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/JOEH7PT6M2Y2VQCKF7FFRPE4XX \
  | 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: 4b887fbe7e66b1aac04a2fca58bc9cbdc210a53449fa94f144be37f90f1a6a29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0aac0ef7fe8288612151a49ca38230d6f27cd9dc52f3cbe59a37cd6d6d101a4",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-02-10T12:49:57Z",
    "title_canon_sha256": "24151fa5510cc3cf145ca2e931700cb47e9de1b9458db3dae29f9b479724e019"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06410",
    "kind": "arxiv",
    "version": 4
  }
}