Pith Number

pith:CNXKNITO

pith:2025:CNXKNITO3GTSNCFNLGL2CNO36A

not attested not anchored not stored refs pending

When Max_d(G) is zero-dimensional

Ramiro Lafuente-Rodriguez, Ricardo Carrera, Warren Wm. McGovern

arxiv:2501.03768 v1 · 2025-01-07 · math.GR · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CNXKNITO3GTSNCFNLGL2CNO36A}

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	2026-05-26T02:04:59.430054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

136ea6a26ed9a72688ad5997a135dbf001955622b603577a8088804dda99e1c2

Aliases

arxiv: 2501.03768 · arxiv_version: 2501.03768v1 · doi: 10.48550/arxiv.2501.03768 · pith_short_12: CNXKNITO3GTS · pith_short_16: CNXKNITO3GTSNCFN · pith_short_8: CNXKNITO

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/CNXKNITO3GTSNCFNLGL2CNO36A \
  | 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: 136ea6a26ed9a72688ad5997a135dbf001955622b603577a8088804dda99e1c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "883c01a91ca8ae8bfe163db63207baaaf2bc187c4c579a9a5155ecc6d9b1f748",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-01-07T13:21:16Z",
    "title_canon_sha256": "3d02e8cfbbe222a0fb833727b4482fa36de953cca7ae9bbf15b699a6f5a07798"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.03768",
    "kind": "arxiv",
    "version": 1
  }
}