Pith Number

pith:X7DTECQO

pith:2010:X7DTECQOVRWP5HK45OSFB67YB7

not attested not anchored not stored refs pending

Cyclotomic Matrices and Graphs over the ring of integers of some imaginary quadratic fields

Graeme Taylor

arxiv:1011.2737 v3 · 2010-11-11 · 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{X7DTECQOVRWP5HK45OSFB67YB7}

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	2026-05-18T04:26:02.326483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfc7320a0eac6cfe9d5ceba450fbf80fdf931c8356cf4e8e0d38cff0634cb1f4

Aliases

arxiv: 1011.2737 · arxiv_version: 1011.2737v3 · doi: 10.48550/arxiv.1011.2737 · pith_short_12: X7DTECQOVRWP · pith_short_16: X7DTECQOVRWP5HK4 · pith_short_8: X7DTECQO

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/X7DTECQOVRWP5HK45OSFB67YB7 \
  | 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: bfc7320a0eac6cfe9d5ceba450fbf80fdf931c8356cf4e8e0d38cff0634cb1f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "634b67023f1aa72f8e06576f7060819858d5501144c383ebbd982aa53da22ddb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-11T18:58:38Z",
    "title_canon_sha256": "2cda2dc3ea45e6ca4d308cf46c55a2464c121c0b681fd8e4f74d3fd48ef7c5b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2737",
    "kind": "arxiv",
    "version": 3
  }
}