Pith Number

pith:6V4QRJ4N

pith:2016:6V4QRJ4NDYDWIHQJPX2N3AIXJR

not attested not anchored not stored refs pending

Complex Hadamard matrices attached to even orthogonal schemes of class 4

Akihiro Munemasa, Takuya Ikuta

arxiv:1612.00926 v1 · 2016-12-03 · 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{6V4QRJ4NDYDWIHQJPX2N3AIXJR}

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	2026-05-18T00:55:53.815169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f57908a78d1e07641e097df4dd81174c64b38af743c77a9f2429d7cf2458542f

Aliases

arxiv: 1612.00926 · arxiv_version: 1612.00926v1 · doi: 10.48550/arxiv.1612.00926 · pith_short_12: 6V4QRJ4NDYDW · pith_short_16: 6V4QRJ4NDYDWIHQJ · pith_short_8: 6V4QRJ4N

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/6V4QRJ4NDYDWIHQJPX2N3AIXJR \
  | 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: f57908a78d1e07641e097df4dd81174c64b38af743c77a9f2429d7cf2458542f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bebc24c007ce2c22b375952051dfe500cbfa971cafdedcb3c8b9472bdb53823d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-03T05:16:05Z",
    "title_canon_sha256": "6ae9b13cc91b00210380696802bcc9e7638673e95e3e21cd51e02c56113d0aa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00926",
    "kind": "arxiv",
    "version": 1
  }
}