Pith Number

pith:GA6MY4XM

pith:2012:GA6MY4XM7OK6MXVWPCMYGMPLLB

not attested not anchored not stored refs pending

Multiplicativity in the theory of coincidence site lattices

Peter Zeiner

arxiv:1212.4528 v1 · 2012-12-18 · math.MG · 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{GA6MY4XM7OK6MXVWPCMYGMPLLB}

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	2026-05-18T03:38:12.094065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

303ccc72ecfb95e65eb678998331eb58559353d1d60a08df67b428da64a37d02

Aliases

arxiv: 1212.4528 · arxiv_version: 1212.4528v1 · doi: 10.48550/arxiv.1212.4528 · pith_short_12: GA6MY4XM7OK6 · pith_short_16: GA6MY4XM7OK6MXVW · pith_short_8: GA6MY4XM

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/GA6MY4XM7OK6MXVWPCMYGMPLLB \
  | 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: 303ccc72ecfb95e65eb678998331eb58559353d1d60a08df67b428da64a37d02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e7104f967898db5189882a27243e4e58054a1ee12bed14f4499779a14e657b9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-12-18T22:37:53Z",
    "title_canon_sha256": "20c6266d3b04fdaad66cf2f198b61933526ab9f795e7ac035b5a01828dbb15b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4528",
    "kind": "arxiv",
    "version": 1
  }
}