Pith Number

pith:E5PN5NT7

pith:2016:E5PN5NT7PFWOFJUTMEUSGTF6MU

not attested not anchored not stored refs pending

Full diversity sets of unitary matrices from orthogonal sets of idempotents

Ted Hurley

arxiv:1612.02202 v2 · 2016-12-07 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5PN5NT7PFWOFJUTMEUSGTF6MU}

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	2026-05-18T00:51:24.863562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

275edeb67f796ce2a6936129234cbe652fac61f3fed72f6a2b4201a348161cfd

Aliases

arxiv: 1612.02202 · arxiv_version: 1612.02202v2 · doi: 10.48550/arxiv.1612.02202 · pith_short_12: E5PN5NT7PFWO · pith_short_16: E5PN5NT7PFWOFJUT · pith_short_8: E5PN5NT7

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/E5PN5NT7PFWOFJUTMEUSGTF6MU \
  | 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: 275edeb67f796ce2a6936129234cbe652fac61f3fed72f6a2b4201a348161cfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f6aef07dbb2bcad32cb1670aa1f1880d8a90147b4a8ea3d8f3b713fdc96d3b3",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-12-07T11:32:35Z",
    "title_canon_sha256": "c83434eb367cf3572e359952909d15f1a6692d48b20533778429c89cf2e37e93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02202",
    "kind": "arxiv",
    "version": 2
  }
}