Pith Number

pith:VEW3KTBD

pith:2009:VEW3KTBDA2GYC35SI5ZOYB7OFW

not attested not anchored not stored refs pending

All Mutually Unbiased Bases in Dimensions Two to Five

Ingemar Bengtsson, Stefan Weigert, Stephen Brierley

arxiv:0907.4097 v2 · 2009-07-23 · 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{VEW3KTBDA2GYC35SI5ZOYB7OFW}

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	2026-05-18T04:42:34.542213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a92db54c23068d816fb24772ec07ee2db19d4d4bd45a2eb0329943deccb28f49

Aliases

arxiv: 0907.4097 · arxiv_version: 0907.4097v2 · doi: 10.48550/arxiv.0907.4097 · pith_short_12: VEW3KTBDA2GY · pith_short_16: VEW3KTBDA2GYC35S · pith_short_8: VEW3KTBD

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/VEW3KTBDA2GYC35SI5ZOYB7OFW \
  | 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: a92db54c23068d816fb24772ec07ee2db19d4d4bd45a2eb0329943deccb28f49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "615bb4975095ff871d737f099975ef9795779d25c5c55dcb7b73b8d2c1bb7aa7",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-07-23T15:47:45Z",
    "title_canon_sha256": "cadcfbcb4e8c4c974bcc3a0a846604116354b7c2c44c48fd0aa3f07b42d4350c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4097",
    "kind": "arxiv",
    "version": 2
  }
}