Pith Number

pith:QE4HGA7P

pith:2016:QE4HGA7PIR5C2HJZJUQA3RYJD6

not attested not anchored not stored refs pending

Equiangular tight frames and unistochastic matrices

Dardo Goyeneche, Ondrej Turek

arxiv:1607.04528 v2 · 2016-07-15 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QE4HGA7PIR5C2HJZJUQA3RYJD6}

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	2026-05-18T00:43:02.568022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81387303ef447a2d1d394d200dc7091f8b61a79b501a3dac8bd3f9ea800b0be5

Aliases

arxiv: 1607.04528 · arxiv_version: 1607.04528v2 · doi: 10.48550/arxiv.1607.04528 · pith_short_12: QE4HGA7PIR5C · pith_short_16: QE4HGA7PIR5C2HJZ · pith_short_8: QE4HGA7P

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/QE4HGA7PIR5C2HJZJUQA3RYJD6 \
  | 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: 81387303ef447a2d1d394d200dc7091f8b61a79b501a3dac8bd3f9ea800b0be5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28004d60a9da6ccd0de8fc7767dd862038e00f252134ba96da5b65d529127846",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-07-15T14:36:28Z",
    "title_canon_sha256": "a171baf09dce80779ae5a701f9979bfedbe9023ea01c28ed7767309bc959dd93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04528",
    "kind": "arxiv",
    "version": 2
  }
}