Pith Number

pith:LLSV457X

pith:2026:LLSV457XOIOZF7AWTK4PX7FPRI

not attested not anchored not stored refs pending

Extended Module Categories in Higher Cluster Tilting Theory

Nao Mochizuki

arxiv:2605.24607 v1 · 2026-05-23 · math.RT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLSV457XOIOZF7AWTK4PX7FPRI}

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	2026-05-26T01:03:48.660353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ae55e77f7721d92fc169ab8fbfcaf8a2d9cbac900ae537741c76f76163498a9

Aliases

arxiv: 2605.24607 · arxiv_version: 2605.24607v1 · doi: 10.48550/arxiv.2605.24607 · pith_short_12: LLSV457XOIOZ · pith_short_16: LLSV457XOIOZF7AW · pith_short_8: LLSV457X

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/LLSV457XOIOZF7AWTK4PX7FPRI \
  | 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: 5ae55e77f7721d92fc169ab8fbfcaf8a2d9cbac900ae537741c76f76163498a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3572275f4ecbb5e08d63a3e0f4d4ac76dac60f0fd3cc9eadd38274f11000d4b",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-05-23T14:43:45Z",
    "title_canon_sha256": "79c61c9db4d87cf8e446d865c2274c082a4948e65e1ba9864a6db330af5bd969"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24607",
    "kind": "arxiv",
    "version": 1
  }
}