Pith Number

pith:P2KTJA2R

pith:2025:P2KTJA2RNI4CSJVQ6XRHXV54RT

not attested not anchored not stored refs pending

Higher-dimensional generalization of abelian categories via DG-categories

Nao Mochizuki

arxiv:2501.06955 v2 · 2025-01-12 · math.CT · math.RA · 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{P2KTJA2RNI4CSJVQ6XRHXV54RT}

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

Extended Module Categories in Higher Cluster Tilting Theory

Receipt and verification

First computed	2026-07-05T11:33:03.268598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e953483516a382926b0f5e27bd7bc8ccc35d121729c33bc23e61e3bdca13fbd

Aliases

arxiv: 2501.06955 · arxiv_version: 2501.06955v2 · doi: 10.48550/arxiv.2501.06955 · pith_short_12: P2KTJA2RNI4C · pith_short_16: P2KTJA2RNI4CSJVQ · pith_short_8: P2KTJA2R

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/P2KTJA2RNI4CSJVQ6XRHXV54RT \
  | 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: 7e953483516a382926b0f5e27bd7bc8ccc35d121729c33bc23e61e3bdca13fbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21449068183f8366aec0fd884dde8ebbca6fdac456d6c6b81388336cfee86c46",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-01-12T22:22:20Z",
    "title_canon_sha256": "14b45500c77df91804c70b197915d93344476952989c33e57e272c8a8182aff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.06955",
    "kind": "arxiv",
    "version": 2
  }
}