Pith Number

pith:WUOUUX5I

pith:2012:WUOUUX5IKDH6PK7FCKB5XOFXTG

not attested not anchored not stored refs pending

On mutually unbiased bases: Passing from d to d**2

Maurice Robert Kibler (IPNL)

arxiv:1210.8173 v2 · 2012-10-30 · quant-ph · 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{WUOUUX5IKDH6PK7FCKB5XOFXTG}

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	2026-05-18T03:26:32.277208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b51d4a5fa850cfe7abe51283dbb8b799b3a2ef5ee5e166291428b00b5eef27f4

Aliases

arxiv: 1210.8173 · arxiv_version: 1210.8173v2 · doi: 10.48550/arxiv.1210.8173 · pith_short_12: WUOUUX5IKDH6 · pith_short_16: WUOUUX5IKDH6PK7F · pith_short_8: WUOUUX5I

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/WUOUUX5IKDH6PK7FCKB5XOFXTG \
  | 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: b51d4a5fa850cfe7abe51283dbb8b799b3a2ef5ee5e166291428b00b5eef27f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc1620af67cc519fe8b493d534be7dfd10c53b69baa967d8da853a2403ce61b6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-30T21:22:42Z",
    "title_canon_sha256": "3f865ccd6b5a2de7226acddd38c258d2e701f305f5deeb5a672906c8150f08c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8173",
    "kind": "arxiv",
    "version": 2
  }
}