Pith Number

pith:Z3GYBB7Q

pith:2012:Z3GYBB7QEEGCWBCYEJTTOCS3Z2

not attested not anchored not stored refs pending

Cyclotomic matrices over real quadratic integer rings

Gary Greaves

arxiv:1201.6217 v2 · 2012-01-30 · 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{Z3GYBB7QEEGCWBCYEJTTOCS3Z2}

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	2026-05-18T03:13:56.413544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cecd8087f0210c2b04582267370a5bceaa085bb769da8a81b9425208b400e282

Aliases

arxiv: 1201.6217 · arxiv_version: 1201.6217v2 · doi: 10.48550/arxiv.1201.6217 · pith_short_12: Z3GYBB7QEEGC · pith_short_16: Z3GYBB7QEEGCWBCY · pith_short_8: Z3GYBB7Q

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/Z3GYBB7QEEGCWBCYEJTTOCS3Z2 \
  | 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: cecd8087f0210c2b04582267370a5bceaa085bb769da8a81b9425208b400e282

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6205a63e5cd145d9e52ccca99da066baca7e8a69e3d915454aec7e8b97fc811",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-30T14:14:26Z",
    "title_canon_sha256": "e6287591152b132de01b1ef6081542c2d814425ffca34a70ebd47c659c9088e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6217",
    "kind": "arxiv",
    "version": 2
  }
}