Pith Number

pith:QOV7AKHR

pith:2026:QOV7AKHRNCLGZLH47TJCMDYHXY

not attested not anchored not stored refs pending

Categorical Algebra of Atomic Monoids: Presentability, Regularity, and Pretorsion Theories

Federico Campanini, Laura Cossu

arxiv:2607.23144 v1 · 2026-07-25 · 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{QOV7AKHRNCLGZLH47TJCMDYHXY}

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	2026-07-28T01:22:09.335992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83abf028f168966cacfcfcd2260f07be1405a6239f46dff90a09655b431b9f8c

Aliases

arxiv: 2607.23144 · arxiv_version: 2607.23144v1 · doi: 10.48550/arxiv.2607.23144 · pith_short_12: QOV7AKHRNCLG · pith_short_16: QOV7AKHRNCLGZLH4 · pith_short_8: QOV7AKHR

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/QOV7AKHRNCLGZLH47TJCMDYHXY \
  | 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: 83abf028f168966cacfcfcd2260f07be1405a6239f46dff90a09655b431b9f8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb253615f02dfa357fbcd645979291df0d06ee917c1a3cd6dff8869bd3f18e8e",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-07-25T10:51:26Z",
    "title_canon_sha256": "fd2ae820dfc03adc153c0735226ab0d4fb29fffd6102835e6f1bd154e8080490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23144",
    "kind": "arxiv",
    "version": 1
  }
}