Pith Number

pith:2INOGF7A

pith:2023:2INOGF7A2XVFK6HOEQRZXXCBX6

not attested not anchored not stored refs pending

On finite generation in magnitude (co)homology, and its torsion

Carlo Collari, Luigi Caputi

arxiv:2302.06525 v2 · 2023-02-13 · math.AT · math.CO · 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{2INOGF7A2XVFK6HOEQRZXXCBX6}

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	2026-07-05T09:32:02.396042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d21ae317e0d5ea5578ee24239bdc41bf9d09612dc3d86bf4bb51702bb2314773

Aliases

arxiv: 2302.06525 · arxiv_version: 2302.06525v2 · doi: 10.48550/arxiv.2302.06525 · pith_short_12: 2INOGF7A2XVF · pith_short_16: 2INOGF7A2XVFK6HO · pith_short_8: 2INOGF7A

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/2INOGF7A2XVFK6HOEQRZXXCBX6 \
  | 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: d21ae317e0d5ea5578ee24239bdc41bf9d09612dc3d86bf4bb51702bb2314773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35b25e47db7e7899daf043efac094d2d4da50c34941a11af86569a71ffebd2de",
    "cross_cats_sorted": [
      "math.CO",
      "math.CT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2023-02-13T17:10:49Z",
    "title_canon_sha256": "1ec7ef931002ae17025ac3e269cb5bb2b4b318488b0c80b2c7a45818814b1d97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.06525",
    "kind": "arxiv",
    "version": 2
  }
}