Pith Number

pith:FKB44DNP

pith:2018:FKB44DNPZOF7FIOA2ZNIQ7VYMF

not attested not anchored not stored refs pending

Divisibility classes are seldom closed under flat covers

Michal Hrbek

arxiv:1801.02260 v1 · 2018-01-07 · math.AC · 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{FKB44DNPZOF7FIOA2ZNIQ7VYMF}

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	2026-05-18T00:26:32.270505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a83ce0dafcb8bf2a1c0d65a887eb861546e9cbc70aee52897c2fa44d030d75d

Aliases

arxiv: 1801.02260 · arxiv_version: 1801.02260v1 · doi: 10.48550/arxiv.1801.02260 · pith_short_12: FKB44DNPZOF7 · pith_short_16: FKB44DNPZOF7FIOA · pith_short_8: FKB44DNP

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/FKB44DNPZOF7FIOA2ZNIQ7VYMF \
  | 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: 2a83ce0dafcb8bf2a1c0d65a887eb861546e9cbc70aee52897c2fa44d030d75d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "086425861a390d4b288b4732522b1b251ddef4c4725442b06e1774cbce947707",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-01-07T22:58:07Z",
    "title_canon_sha256": "54cf5a5285e0f503cbb3c7130b59f627264a1bbdbdfac107414b71444ae6713a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02260",
    "kind": "arxiv",
    "version": 1
  }
}