Pith Number

pith:HSSKSGIS

pith:2011:HSSKSGISKICAF4PLBKNX44L3Y4

not attested not anchored not stored refs pending

A low-memory algorithm for finding short product representations in finite groups

Andrew V. Sutherland, Gaetan Bisson

arxiv:1101.0564 v1 · 2011-01-03 · math.NT · cs.CR · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSSKSGISKICAF4PLBKNX44L3Y4}

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	2026-05-18T03:52:51.460454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ca4a91912520402f1eb0a9b7e717bc738fe86192d627bbbd47af9825341a9ba

Aliases

arxiv: 1101.0564 · arxiv_version: 1101.0564v1 · doi: 10.48550/arxiv.1101.0564 · pith_short_12: HSSKSGISKICA · pith_short_16: HSSKSGISKICAF4PL · pith_short_8: HSSKSGIS

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/HSSKSGISKICAF4PLBKNX44L3Y4 \
  | 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: 3ca4a91912520402f1eb0a9b7e717bc738fe86192d627bbbd47af9825341a9ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2326dac9c7b90fec26f8022559e25562d3e558e78ebf9e10f9e83ba59882574",
    "cross_cats_sorted": [
      "cs.CR",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-03T16:58:23Z",
    "title_canon_sha256": "89c7479e1bc40ea18e627cb5c57c3e05f150e0bfd42de0e82995e1021e05410a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0564",
    "kind": "arxiv",
    "version": 1
  }
}