Pith Number

pith:M6OKZHMP

pith:2013:M6OKZHMPCOMCRBGDCH5FRTTKVE

not attested not anchored not stored refs pending

Unextendible Mutually Unbiased Bases from Pauli Classes

Markus Grassl, Prabha Mandayam, Somshubhro Bandyopadhyay, William K. Wootters

arxiv:1302.3709 v2 · 2013-02-15 · 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{M6OKZHMPCOMCRBGDCH5FRTTKVE}

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.

Cited by

1 paper in Pith

Mutually Unbiased Bases in Composite Dimensions -- A Review

Receipt and verification

First computed	2026-05-18T03:00:12.908522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

679cac9d8f13982884c311fa58ce6aa9366a8e66118168b464df3ddeadc4573e

Aliases

arxiv: 1302.3709 · arxiv_version: 1302.3709v2 · doi: 10.48550/arxiv.1302.3709 · pith_short_12: M6OKZHMPCOMC · pith_short_16: M6OKZHMPCOMCRBGD · pith_short_8: M6OKZHMP

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/M6OKZHMPCOMCRBGDCH5FRTTKVE \
  | 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: 679cac9d8f13982884c311fa58ce6aa9366a8e66118168b464df3ddeadc4573e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a43f852f640ddac576fe8d57504357ae94c482db4674709ab34d97e19c007221",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-02-15T09:47:15Z",
    "title_canon_sha256": "7a78b11376f3e39b9c3dd09da1aee9d51fe2237d90e20642ddf5569f09ee96d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3709",
    "kind": "arxiv",
    "version": 2
  }
}