Pith Number

pith:BRFXXWXI

pith:2013:BRFXXWXI2RHEQGSFSELIZXS6ZE

not attested not anchored not stored refs pending

Defect and equivalence of unitary matrices. The Fourier case

Wojciech Tadej

arxiv:1310.8119 v2 · 2013-10-30 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BRFXXWXI2RHEQGSFSELIZXS6ZE}

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	2026-05-18T02:49:01.938817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c4b7bdae8d44e481a4591168cde5ec925dafd1fb0e761fb8b79d8e9d6b5b2ed

Aliases

arxiv: 1310.8119 · arxiv_version: 1310.8119v2 · doi: 10.48550/arxiv.1310.8119 · pith_short_12: BRFXXWXI2RHE · pith_short_16: BRFXXWXI2RHEQGSF · pith_short_8: BRFXXWXI

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/BRFXXWXI2RHEQGSFSELIZXS6ZE \
  | 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: 0c4b7bdae8d44e481a4591168cde5ec925dafd1fb0e761fb8b79d8e9d6b5b2ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40f2d19db100c99412a587644bb3f0d2ee30a023fde80d928a1cd969362eb052",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-10-30T12:36:25Z",
    "title_canon_sha256": "15533d0ed39583491185adee1f3a081353f74c6591583da50817f13d37f294a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8119",
    "kind": "arxiv",
    "version": 2
  }
}