Pith Number

pith:FHJ2DEXA

pith:2010:FHJ2DEXADB5HPCA5LYKLVKVBGW

not attested not anchored not stored refs pending

Periodicities of T and Y-systems, dilogarithm identities, and cluster algebras II: Types C_r, F_4, and G_2

Atsuo Kuniba, Bernhard Keller, Osamu Iyama, Rei Inoue, Tomoki Nakanishi

arxiv:1001.1881 v4 · 2010-01-12 · math.QA · 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{FHJ2DEXADB5HPCA5LYKLVKVBGW}

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	2026-05-18T03:31:18.221787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29d3a192e0187a77881d5e14baaaa135b01b01367819338365c48ce082dba76a

Aliases

arxiv: 1001.1881 · arxiv_version: 1001.1881v4 · doi: 10.48550/arxiv.1001.1881 · pith_short_12: FHJ2DEXADB5H · pith_short_16: FHJ2DEXADB5HPCA5 · pith_short_8: FHJ2DEXA

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/FHJ2DEXADB5HPCA5LYKLVKVBGW \
  | 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: 29d3a192e0187a77881d5e14baaaa135b01b01367819338365c48ce082dba76a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8727ac25cf8beb10401c453815d5a286aca3497a7a4dda731f09a17d44527e2c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-01-12T13:48:58Z",
    "title_canon_sha256": "6207d6f4c337b8bc3fb52c234f31ed77f15292389649c2687530136794a080d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1881",
    "kind": "arxiv",
    "version": 4
  }
}