Pith Number

pith:WWTLXUDI

pith:2006:WWTLXUDIQJ6EA43U2WPYHB57FA

not attested not anchored not stored refs pending

Mutation in triangulated categories and rigid Cohen-Macaulay modules

Osamu Iyama, Yuji Yoshino

arxiv:math/0607736 v3 · 2006-07-28 · math.RT · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWTLXUDIQJ6EA43U2WPYHB57FA}

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	2026-05-18T01:38:23.895556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5a6bbd068827c407374d59f8387bf28217e08726839778877df7158b9f3c690

Aliases

arxiv: math/0607736 · arxiv_version: math/0607736v3 · doi: 10.48550/arxiv.math/0607736 · pith_short_12: WWTLXUDIQJ6E · pith_short_16: WWTLXUDIQJ6EA43U · pith_short_8: WWTLXUDI

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/WWTLXUDIQJ6EA43U2WPYHB57FA \
  | 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: b5a6bbd068827c407374d59f8387bf28217e08726839778877df7158b9f3c690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "324ab62592665fd43667f2e51f7cda5c97a19bda432a75004f183f4312e23f8b",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2006-07-28T10:11:42Z",
    "title_canon_sha256": "6bb4c84fa815fb20b8658c7915eb2e73e6e606015a93cced40033c3cb707ff2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607736",
    "kind": "arxiv",
    "version": 3
  }
}