Pith Number

pith:MUO5UZRU

pith:2022:MUO5UZRULS56NQRJNPCTGVVZIQ

not attested not anchored not stored refs pending

Fp-projective periodicity

Leonid Positselski, Michal Hrbek, Silvana Bazzoni

arxiv:2212.02300 v4 · 2022-12-05 · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUO5UZRULS56NQRJNPCTGVVZIQ}

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

Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity

Receipt and verification

First computed	2026-07-05T06:43:37.407006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

651dda66345cbbe6c2296bc53356b944293d54c1fba5df3243019e4d9e4060c5

Aliases

arxiv: 2212.02300 · arxiv_version: 2212.02300v4 · doi: 10.48550/arxiv.2212.02300 · pith_short_12: MUO5UZRULS56 · pith_short_16: MUO5UZRULS56NQRJ · pith_short_8: MUO5UZRU

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/MUO5UZRULS56NQRJNPCTGVVZIQ \
  | 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: 651dda66345cbbe6c2296bc53356b944293d54c1fba5df3243019e4d9e4060c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b93e87cacd369100b2c0c14bb4cfbd326ffd2c12bd78b9f80b6f95ecde03668d",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2022-12-05T14:25:08Z",
    "title_canon_sha256": "1084427d46f93cd5db6416789123dd1afdc1319ddc16b8ea4e4899d9883a4968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.02300",
    "kind": "arxiv",
    "version": 4
  }
}