Pith. sign in
Pith Number

pith:53RJVT6X

pith:2003:53RJVT6XKUZRR6MQNTNOHBUFDR
not attested not anchored not stored refs pending

Constructions of Mutually Unbiased Bases

Andreas Klappenecker (Texas A&M University), Martin Roetteler (University of Waterloo)

arxiv:quant-ph/0309120 v1 · 2003-09-15 · quant-ph · cs.ET

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{53RJVT6XKUZRR6MQNTNOHBUFDR}

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 2026-07-05T07:16:22.919115Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

eee29acfd7553318f9906cdae386851c6df06cdbcca8fa223fc6a7c565a5d989

Aliases

arxiv: quant-ph/0309120 · arxiv_version: quant-ph/0309120v1 · doi: 10.48550/arxiv.quant-ph/0309120 · pith_short_12: 53RJVT6XKUZR · pith_short_16: 53RJVT6XKUZRR6MQ · pith_short_8: 53RJVT6X
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/53RJVT6XKUZRR6MQNTNOHBUFDR \
  | 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: eee29acfd7553318f9906cdae386851c6df06cdbcca8fa223fc6a7c565a5d989
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dddeb061f2cf55f8f83fd85d684bfcfefd945eed2f8219204942200d9489286a",
    "cross_cats_sorted": [
      "cs.ET"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-09-15T19:13:42Z",
    "title_canon_sha256": "f7273cf6f8add592d0f564833e24862ae793e6ab02a3f19f23000efbfa13f7ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0309120",
    "kind": "arxiv",
    "version": 1
  }
}