Pith Number

pith:A2U2S4B3

pith:2006:A2U2S4B3TWCV2E73LPMV32Y27Q

not attested not anchored not stored refs pending

On the structure of triangulated category with finitely many indecomposables

Claire Amiot (IMJ)

arxiv:math/0612141 v2 · 2006-12-06 · math.CT · 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{A2U2S4B3TWCV2E73LPMV32Y27Q}

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

Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory

Receipt and verification

First computed	2026-07-04T14:58:39.223561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06a9a9703b9d855d13fb5bd95deb1afc2a8e3e45e6828f28f86f4445fd47c96f

Aliases

arxiv: math/0612141 · arxiv_version: math/0612141v2 · doi: 10.48550/arxiv.math/0612141 · pith_short_12: A2U2S4B3TWCV · pith_short_16: A2U2S4B3TWCV2E73 · pith_short_8: A2U2S4B3

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/A2U2S4B3TWCV2E73LPMV32Y27Q \
  | 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: 06a9a9703b9d855d13fb5bd95deb1afc2a8e3e45e6828f28f86f4445fd47c96f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6873776fd70f1f9a2bd9737b6e7886d3071bda614508c02001a18fea70a0cb1",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "2006-12-06T06:05:55Z",
    "title_canon_sha256": "da31f396ea67e40e405ea5d109dbe3c9b53812505f1406368c17207c7dd61bea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612141",
    "kind": "arxiv",
    "version": 2
  }
}