Pith Number

pith:J432ERCL

pith:2011:J432ERCLD7LYMISXKCHWGXY73P

not attested not anchored not stored refs pending

Factorizations in finite groups

Vik.S. Kulikov

arxiv:1105.1939 v1 · 2011-05-10 · math.GR · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J432ERCLD7LYMISXKCHWGXY73P}

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	2026-05-18T04:22:30.258428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f37a2444b1fd7862257508f635f1fdbf1ed715f77cbd1a09a962b4e30edc0ca

Aliases

arxiv: 1105.1939 · arxiv_version: 1105.1939v1 · doi: 10.48550/arxiv.1105.1939 · pith_short_12: J432ERCLD7LY · pith_short_16: J432ERCLD7LYMISX · pith_short_8: J432ERCL

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/J432ERCLD7LYMISXKCHWGXY73P \
  | 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: 4f37a2444b1fd7862257508f635f1fdbf1ed715f77cbd1a09a962b4e30edc0ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65691b4063056d0aea2d5ea66a8d6ced5ca930a8b8028102c0dc38ce556c7ff4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-05-10T13:17:15Z",
    "title_canon_sha256": "e64c905c3224050520a42782241d2f75ba8ed6d56c670756eeae4d6e0c00722b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1939",
    "kind": "arxiv",
    "version": 1
  }
}