Pith Number

pith:W3TBYA3N

pith:2025:W3TBYA3NSATVTL3BQL3C75YURP

not attested not anchored not stored refs pending

Real $C$-, $G$-structures and sign-coherence of cluster algebras

Ryota Akagi, Zhichao Chen

arxiv:2509.06486 v3 · 2025-09-08 · math.RT · math.CO · 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{W3TBYA3NSATVTL3BQL3C75YURP}

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.

Cited by

1 paper in Pith

Eventual sign coherence

Receipt and verification

First computed	2026-06-09T01:05:09.235196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6e61c036d902759af6182f62ff7148bf900064b520417428092fdef8c58f393

Aliases

arxiv: 2509.06486 · arxiv_version: 2509.06486v3 · doi: 10.48550/arxiv.2509.06486 · pith_short_12: W3TBYA3NSATV · pith_short_16: W3TBYA3NSATVTL3B · pith_short_8: W3TBYA3N

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/W3TBYA3NSATVTL3BQL3C75YURP \
  | 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: b6e61c036d902759af6182f62ff7148bf900064b520417428092fdef8c58f393

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef03cdad97f9c39128fee28cc672ccb8511af75d22b28e0d3e893301deb72a35",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-09-08T09:49:23Z",
    "title_canon_sha256": "902ad958e4dcfa130cd2222187830478fca7069847dfa159a22812385d42724b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06486",
    "kind": "arxiv",
    "version": 3
  }
}