Pith Number

pith:FVCFRRKS

pith:2022:FVCFRRKSAFWSDSQGQBE5B2VAOB

not attested not anchored not stored refs pending

Grothendieck monoids of extriangulated categories

Haruhisa Enomoto, Shunya Saito

arxiv:2208.02928 v2 · 2022-08-04 · 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{FVCFRRKSAFWSDSQGQBE5B2VAOB}

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

3 papers in Pith

Stratifying systems and Jordan-H\"{o}lder extriangulated categories

$n$-Extension closed subcategories of $n$-exangulated categories

Weak Waldhausen categories and a localization theorem

Receipt and verification

First computed	2026-07-05T05:14:36.072934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d4458c552016d21ca068049d0eaa0706679d83b1e89f68da1237bed044cca63

Aliases

arxiv: 2208.02928 · arxiv_version: 2208.02928v2 · doi: 10.48550/arxiv.2208.02928 · pith_short_12: FVCFRRKSAFWS · pith_short_16: FVCFRRKSAFWSDSQG · pith_short_8: FVCFRRKS

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/FVCFRRKSAFWSDSQGQBE5B2VAOB \
  | 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: 2d4458c552016d21ca068049d0eaa0706679d83b1e89f68da1237bed044cca63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "172912601225211f70a3bfa9ff586fd64df300fad5fa50f77c5167a33626b338",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2022-08-04T23:23:48Z",
    "title_canon_sha256": "5f13a2ef0a4f5e3c45189e79d21e8f6d611e64ec3a1977cc9e594c9599c8c0f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.02928",
    "kind": "arxiv",
    "version": 2
  }
}