Pith Number

pith:YNG2IRGC

pith:2009:YNG2IRGC7W67NCIHB3MTE5CCCQ

not attested not anchored not stored refs pending

On semiabelian p-groups

Danny Neftin

arxiv:0908.1472 v3 · 2009-08-11 · math.GR · 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{YNG2IRGC7W67NCIHB3MTE5CCCQ}

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	2026-05-18T04:07:54.398709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c34da444c2fdbdf689070ed932744214190f98c7b5f1757ae54670abed34d755

Aliases

arxiv: 0908.1472 · arxiv_version: 0908.1472v3 · doi: 10.48550/arxiv.0908.1472 · pith_short_12: YNG2IRGC7W67 · pith_short_16: YNG2IRGC7W67NCIH · pith_short_8: YNG2IRGC

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/YNG2IRGC7W67NCIHB3MTE5CCCQ \
  | 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: c34da444c2fdbdf689070ed932744214190f98c7b5f1757ae54670abed34d755

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2773236f47bfbccd5316a81b091250c02bf203ed8d6590b4d3ef649576ae9539",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-08-11T07:45:22Z",
    "title_canon_sha256": "67d008e6b96330565167425bd31277776eef28531cf4d3aa93af6abb20b3a72b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1472",
    "kind": "arxiv",
    "version": 3
  }
}