Pith Number

pith:QDGKUEPD

pith:2020:QDGKUEPDZLE3Y2GNWTOAL55F7Z

not attested not anchored not stored refs pending

Tight frames over the quaternions and equiangular lines

Shayne Waldron

arxiv:2006.06126 v3 · 2020-06-11 · math.FA · cs.IT · math.IT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDGKUEPDZLE3Y2GNWTOAL55F7Z}

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.

Cited by

1 paper in Pith

On the Structure of Frames and Equiangular Lines over Finite Fields and their Connections to Design Theory

Receipt and verification

First computed	2026-07-05T12:00:25.034002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80ccaa11e3cac9bc68cdb4dc05f7a5fe6f21c06462f2e6f7694a3bf2595dffae

Aliases

arxiv: 2006.06126 · arxiv_version: 2006.06126v3 · doi: 10.48550/arxiv.2006.06126 · pith_short_12: QDGKUEPDZLE3 · pith_short_16: QDGKUEPDZLE3Y2GN · pith_short_8: QDGKUEPD

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/QDGKUEPDZLE3Y2GNWTOAL55F7Z \
  | 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: 80ccaa11e3cac9bc68cdb4dc05f7a5fe6f21c06462f2e6f7694a3bf2595dffae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ea4bfcc362d2af494ba694647bfc5236a76da55a7039348c73d68a7d9c405fc",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-06-11T00:29:49Z",
    "title_canon_sha256": "b6792f9f80afe6dc49d66aa2ae3163aa7a90e8b32e120ac29757e3f9c37c15e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.06126",
    "kind": "arxiv",
    "version": 3
  }
}