Pith Number

pith:NE3HKAZX

pith:2011:NE3HKAZXSLCIHBU2SVLMMFDC4N

not attested not anchored not stored refs pending

A canonical form for nonderogatory matrices under unitary similarity

Roger A. Horn, Vladimir V. Sergeichuk, Vyacheslav Futorny

arxiv:1112.3682 v1 · 2011-12-15 · 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{NE3HKAZXSLCIHBU2SVLMMFDC4N}

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	2026-05-18T04:06:09.139232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

693675033792c483869a9556c61462e35f3a5d923d81fc507bda3da21e776ea3

Aliases

arxiv: 1112.3682 · arxiv_version: 1112.3682v1 · doi: 10.48550/arxiv.1112.3682 · pith_short_12: NE3HKAZXSLCI · pith_short_16: NE3HKAZXSLCIHBU2 · pith_short_8: NE3HKAZX

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/NE3HKAZXSLCIHBU2SVLMMFDC4N \
  | 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: 693675033792c483869a9556c61462e35f3a5d923d81fc507bda3da21e776ea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "536d3a198fe541d0c6509215ab752c925900d8c21b37cbb8e9ac320c0a1d01ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-12-15T22:08:39Z",
    "title_canon_sha256": "e7fe1a292e4f80d86127f82df60d7e918a583f0752ea5c22bb825e6c68d6bf5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3682",
    "kind": "arxiv",
    "version": 1
  }
}