Pith Number

pith:IIWYX7PE

pith:2006:IIWYX7PEZ6TLR7KARLJ6U3YHAU

not attested not anchored not stored refs pending

Three ways to look at mutually unbiased bases

Ingemar Bengtsson

arxiv:quant-ph/0610216 v1 · 2006-10-25 · 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{IIWYX7PEZ6TLR7KARLJ6U3YHAU}

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	2026-05-18T01:37:53.980053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

422d8bfde4cfa6b8fd408ad3ea6f0705312436b5975fc86d4d21fa394dd89359

Aliases

arxiv: quant-ph/0610216 · arxiv_version: quant-ph/0610216v1 · doi: 10.48550/arxiv.quant-ph/0610216 · pith_short_12: IIWYX7PEZ6TL · pith_short_16: IIWYX7PEZ6TLR7KA · pith_short_8: IIWYX7PE

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/IIWYX7PEZ6TLR7KARLJ6U3YHAU \
  | 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: 422d8bfde4cfa6b8fd408ad3ea6f0705312436b5975fc86d4d21fa394dd89359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdc5aff6a079266921dbe880876f493bc264881ec2af2a870a95669b5f3677e8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-10-25T13:32:05Z",
    "title_canon_sha256": "fa4f1902f3c6e51894e9aae500ff57b323639d1eec4934e43bb54f906f5abd3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0610216",
    "kind": "arxiv",
    "version": 1
  }
}