Pith Number

pith:NBZ5QODD

pith:2010:NBZ5QODDMRHYIW5OOS3XP6755C

not attested not anchored not stored refs pending

Affine Constellations Without Mutually Unbiased Counterparts

Stefan Weigert, Thomas Durt

arxiv:1007.3969 v1 · 2010-07-22 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBZ5QODDMRHYIW5OOS3XP6755C}

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	2026-05-18T04:40:54.379576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6873d83863644f845bae74b777fbfde882b21cf5f0e250b905cbfdbccebf345c

Aliases

arxiv: 1007.3969 · arxiv_version: 1007.3969v1 · doi: 10.48550/arxiv.1007.3969 · pith_short_12: NBZ5QODDMRHY · pith_short_16: NBZ5QODDMRHYIW5O · pith_short_8: NBZ5QODD

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/NBZ5QODDMRHYIW5OOS3XP6755C \
  | 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: 6873d83863644f845bae74b777fbfde882b21cf5f0e250b905cbfdbccebf345c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0426ae6432b65d8db6d3e158643f4dcb14f0a9736168bd241f79d752cc5a9480",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-07-22T18:50:06Z",
    "title_canon_sha256": "ed9685b25b3b83c54625818c27a7c4d7cce78f3d9028d43cc9fd066e70b2299e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3969",
    "kind": "arxiv",
    "version": 1
  }
}