Pith Number

pith:KZLQ654G

pith:2021:KZLQ654GLNKSBRXDWGW5JFTCNY

not attested not anchored not stored refs pending

Exceptional collections on $\Sigma _{ 2 }$

Akira Ishii, Hokuto Uehara, Shinnosuke Okawa

arxiv:2107.03051 v1 · 2021-07-07 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZLQ654GLNKSBRXDWGW5JFTCNY}

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

Mutating ordered $\tau$-rigid modules with applications to Nakayama algebras

Receipt and verification

First computed	2026-07-05T02:55:59.534809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56570f77865b5520c6e3b1add496626e01752054c47230dcc2e89d932083a2a6

Aliases

arxiv: 2107.03051 · arxiv_version: 2107.03051v1 · doi: 10.48550/arxiv.2107.03051 · pith_short_12: KZLQ654GLNKS · pith_short_16: KZLQ654GLNKSBRXD · pith_short_8: KZLQ654G

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/KZLQ654GLNKSBRXDWGW5JFTCNY \
  | 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: 56570f77865b5520c6e3b1add496626e01752054c47230dcc2e89d932083a2a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34c2238a9de44d321440a1ecafb37b72e52ba3230a68c2ca1a5e6c0b3e676232",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-07-07T07:28:47Z",
    "title_canon_sha256": "dc48311f4e36ade4f1c29acc2e03675680e8047a3d11be05b59413c875a86704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.03051",
    "kind": "arxiv",
    "version": 1
  }
}