Pith Number

pith:HCE53ZSR

pith:2019:HCE53ZSR5OMZ5HOGSE6B4SS6PI

not attested not anchored not stored refs pending

Factorization graphs of finite groups

Ali Azimi, Mohammad Farrokhi Derakhshandeh Ghouchan

arxiv:1911.12594 v1 · 2019-11-28 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCE53ZSR5OMZ5HOGSE6B4SS6PI}

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	2026-07-05T00:22:47.084175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3889dde651eb999e9dc6913c1e4a5e7a388525d0067952091c28c462dabebd83

Aliases

arxiv: 1911.12594 · arxiv_version: 1911.12594v1 · doi: 10.48550/arxiv.1911.12594 · pith_short_12: HCE53ZSR5OMZ · pith_short_16: HCE53ZSR5OMZ5HOG · pith_short_8: HCE53ZSR

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/HCE53ZSR5OMZ5HOGSE6B4SS6PI \
  | 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: 3889dde651eb999e9dc6913c1e4a5e7a388525d0067952091c28c462dabebd83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9edac38518e555f52849c8f30de30a26c65b53b34d12ea03cbbd38f91deb9053",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-11-28T08:46:31Z",
    "title_canon_sha256": "528579134396419273cc04944e9f12a391656876ac867ff6c090a2d22abfbc84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.12594",
    "kind": "arxiv",
    "version": 1
  }
}