Pith Number

pith:TDZNPA7B

pith:2007:TDZNPA7BLHIOS5VRFZOUY72JCI

not attested not anchored not stored refs pending

Cluster structures for 2-Calabi-Yau categories and unipotent groups

Aslak Bakke Buan, Idun Reiten, Jeanne Scott, Osamu Iyama

arxiv:math/0701557 v3 · 2007-01-19 · 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{TDZNPA7BLHIOS5VRFZOUY72JCI}

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	2026-05-18T03:02:21.804327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98f2d783e159d0e976b12e5d4c7f49120432c6ba4bcd839aa7b87d4dce7fc101

Aliases

arxiv: math/0701557 · arxiv_version: math/0701557v3 · doi: 10.48550/arxiv.math/0701557 · pith_short_12: TDZNPA7BLHIO · pith_short_16: TDZNPA7BLHIOS5VR · pith_short_8: TDZNPA7B

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/TDZNPA7BLHIOS5VRFZOUY72JCI \
  | 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: 98f2d783e159d0e976b12e5d4c7f49120432c6ba4bcd839aa7b87d4dce7fc101

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cad9350fdd04813b8e9a67043d84ec85d214faed60602088d190211ec7f20664",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-01-19T20:58:41Z",
    "title_canon_sha256": "70122763976a7c91542f1c6ba3b2ec251d841e7a032fa4dd9b8c387a8c291841"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701557",
    "kind": "arxiv",
    "version": 3
  }
}