Pith Number

pith:2EQHJQS6

pith:2011:2EQHJQS62DAGRXXVAWIXCRJAPN

not attested not anchored not stored refs pending

Composite parameterization and Haar measure for all unitary and special unitary groups

Beatrix C. Hiesmayr, Christoph Spengler, Marcus Huber

arxiv:1103.3408 v3 · 2011-03-17 · 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{2EQHJQS62DAGRXXVAWIXCRJAPN}

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	2026-05-18T02:22:18.553046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d12074c25ed0c068def505917145207b55a6be557f9bb2532910e95fb3680f52

Aliases

arxiv: 1103.3408 · arxiv_version: 1103.3408v3 · doi: 10.48550/arxiv.1103.3408 · pith_short_12: 2EQHJQS62DAG · pith_short_16: 2EQHJQS62DAGRXXV · pith_short_8: 2EQHJQS6

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/2EQHJQS62DAGRXXVAWIXCRJAPN \
  | 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: d12074c25ed0c068def505917145207b55a6be557f9bb2532910e95fb3680f52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63e79c9be9d3576605695681cf6c1f009afca536237c27d3f064e32528399d2f",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-03-17T13:44:48Z",
    "title_canon_sha256": "778186f8a3bc878bd06eff59f5908632e3770a1b857f9829da66c329688f2bd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3408",
    "kind": "arxiv",
    "version": 3
  }
}