Pith Number

pith:WV2YZILT

pith:2015:WV2YZILTBDT7PJZ26275YYZW4Y

not attested not anchored not stored refs pending

On biunimodular vectors for unitary matrices

Hartmut F\"uhr, Ziemowit Rzeszotnik

arxiv:1506.06738 v1 · 2015-06-19 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WV2YZILTBDT7PJZ26275YYZW4Y}

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	2026-05-18T01:41:44.438617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5758ca17308e7f7a73af6bfdc6336e61b707001aa37efc959fcf4338f96a2ac

Aliases

arxiv: 1506.06738 · arxiv_version: 1506.06738v1 · doi: 10.48550/arxiv.1506.06738 · pith_short_12: WV2YZILTBDT7 · pith_short_16: WV2YZILTBDT7PJZ2 · pith_short_8: WV2YZILT

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/WV2YZILTBDT7PJZ26275YYZW4Y \
  | 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: b5758ca17308e7f7a73af6bfdc6336e61b707001aa37efc959fcf4338f96a2ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "431a2a8cd976b9ebf370b8ed9c41a38e255b1ebfa61ef750340aa2ab77de10fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-06-19T11:12:31Z",
    "title_canon_sha256": "9d13f7361bd1cb908e1f33de2fc0c7dde1f4912dfd034baab023510c18d55f45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06738",
    "kind": "arxiv",
    "version": 1
  }
}