Pith Number

pith:URVD4OAJ

pith:2010:URVD4OAJ6PGKFWAOJK74U74DSW

not attested not anchored not stored refs pending

Periodicities of T and Y-systems, dilogarithm identities, and cluster algebras I: Type B_r

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

arxiv:1001.1880 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{URVD4OAJ6PGKFWAOJK74U74DSW}

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	2026-05-18T03:31:18.232086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a46a3e3809f3cca2d80e4abfca7f8395ba121f967d21b0b688fc03f40c43822f

Aliases

arxiv: 1001.1880 · arxiv_version: 1001.1880v4 · doi: 10.48550/arxiv.1001.1880 · pith_short_12: URVD4OAJ6PGK · pith_short_16: URVD4OAJ6PGKFWAO · pith_short_8: URVD4OAJ

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/URVD4OAJ6PGKFWAOJK74U74DSW \
  | 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: a46a3e3809f3cca2d80e4abfca7f8395ba121f967d21b0b688fc03f40c43822f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d6d2685c0063f4613661a6fd3f8cffbdd5bbe22ff76f92ba56d8fb7c3b53bda",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-01-12T13:47:17Z",
    "title_canon_sha256": "73852f1c44a0ef12eee7805c13bdc272b6af593fb29748757188693801ae208d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1880",
    "kind": "arxiv",
    "version": 4
  }
}