Pith Number

pith:WG2QBMDZ

pith:2019:WG2QBMDZWLEXUEFSX3D6BWXP75

not attested not anchored not stored refs pending

New Nonexistence Results on Circulant Weighing Matrices

Daniel M. Gordon, K.T. Arasu, Yiran Zhang

arxiv:1908.08447 v3 · 2019-08-22 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WG2QBMDZWLEXUEFSX3D6BWXP75}

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	2026-07-05T02:39:40.282174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1b500b079b2c97a10b2bec7e0daefff717fbfdbc5b7457fae76751ad19ee5f1

Aliases

arxiv: 1908.08447 · arxiv_version: 1908.08447v3 · doi: 10.48550/arxiv.1908.08447 · pith_short_12: WG2QBMDZWLEX · pith_short_16: WG2QBMDZWLEXUEFS · pith_short_8: WG2QBMDZ

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/WG2QBMDZWLEXUEFSX3D6BWXP75 \
  | 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: b1b500b079b2c97a10b2bec7e0daefff717fbfdbc5b7457fae76751ad19ee5f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08e9543e90d779ad5806ca8db14f6ae058e35853567f688f9f75cb21df928e08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-22T15:24:52Z",
    "title_canon_sha256": "c91aa5c6e70fc0efbaccf75242ad3460576f0fc182686e7fdab27464d97b147f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08447",
    "kind": "arxiv",
    "version": 3
  }
}