Pith Number

pith:6DDGNFHI

pith:2013:6DDGNFHIXGJYCAQWPIAFIVDRUD

not attested not anchored not stored refs pending

The correspondence between mutually unbiased bases and mutually orthogonal extraordinary supersquares

Cristian Ghiu, Iulia Ghiu

arxiv:1312.3236 v2 · 2013-12-11 · quant-ph · math-ph · math.CO · 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{6DDGNFHIXGJYCAQWPIAFIVDRUD}

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	2026-05-18T02:53:29.863448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0c66694e8b9938102167a00545471a0ff71ba2b662d22497a00793b5d102836

Aliases

arxiv: 1312.3236 · arxiv_version: 1312.3236v2 · doi: 10.48550/arxiv.1312.3236 · pith_short_12: 6DDGNFHIXGJY · pith_short_16: 6DDGNFHIXGJYCAQW · pith_short_8: 6DDGNFHI

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/6DDGNFHIXGJYCAQWPIAFIVDRUD \
  | 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: f0c66694e8b9938102167a00545471a0ff71ba2b662d22497a00793b5d102836

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe23c73f63d36929cb8b5aff1ab50ceaa68a4ff033760dd4325e07e197be7ffe",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-12-11T16:52:12Z",
    "title_canon_sha256": "a5b06a23d17463416e8e8b5a5f84f336afdd584e0364994851af8fb5e84334a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3236",
    "kind": "arxiv",
    "version": 2
  }
}