Pith Number

pith:AU7O4FQD

pith:2019:AU7O4FQDCBX5JPDB2NCSVQNJOR

not attested not anchored not stored refs pending

Bilinear Forms on Finite Abelian Groups and Group-Invariant Butson Hadamard Matrices

Bernhard Schmidt, Tai Do Duc

arxiv:1903.07310 v1 · 2019-03-18 · 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{AU7O4FQDCBX5JPDB2NCSVQNJOR}

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	2026-05-17T23:51:01.774692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

053eee1603106fd4bc61d3452ac1a974712c6f97ae543ec84f860407fe8ddd96

Aliases

arxiv: 1903.07310 · arxiv_version: 1903.07310v1 · doi: 10.48550/arxiv.1903.07310 · pith_short_12: AU7O4FQDCBX5 · pith_short_16: AU7O4FQDCBX5JPDB · pith_short_8: AU7O4FQD

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/AU7O4FQDCBX5JPDB2NCSVQNJOR \
  | 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: 053eee1603106fd4bc61d3452ac1a974712c6f97ae543ec84f860407fe8ddd96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25477f41fd8a21949dc656d3b907b6ef040bd63293342e1ad5205d002878298e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-18T09:02:50Z",
    "title_canon_sha256": "6e0eb2a9a57b1e6e44a6af103d6842be3714a79a07ca872af174a9aeba4e8e07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07310",
    "kind": "arxiv",
    "version": 1
  }
}