Pith Number

pith:B6OAK7KF

pith:2019:B6OAK7KFLL5AZAVETKVESH5OV6

not attested not anchored not stored refs pending

The Golomb topology on a Dedekind domain and the group of units of its quotients

Dario Spirito

arxiv:1906.09922 v1 · 2019-06-24 · math.GN · math.AC · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B6OAK7KFLL5AZAVETKVESH5OV6}

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	2026-05-17T23:42:32.165142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f9c057d455afa0c82a49aaa491faeaf9d94d96d259adefdcd41313ab239f2cd

Aliases

arxiv: 1906.09922 · arxiv_version: 1906.09922v1 · doi: 10.48550/arxiv.1906.09922 · pith_short_12: B6OAK7KFLL5A · pith_short_16: B6OAK7KFLL5AZAVE · pith_short_8: B6OAK7KF

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/B6OAK7KFLL5AZAVETKVESH5OV6 \
  | 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: 0f9c057d455afa0c82a49aaa491faeaf9d94d96d259adefdcd41313ab239f2cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0a6a946d9c956451a2548949aee39596047ed7b67b62d48cae3d1f8470deebe",
    "cross_cats_sorted": [
      "math.AC",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2019-06-24T13:06:26Z",
    "title_canon_sha256": "ce01726b33f955bb3ad621e6a3b2ef2b546bfcad1f5414c767ff652330a68cf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09922",
    "kind": "arxiv",
    "version": 1
  }
}