Pith Number

pith:IK6FHB3D

pith:2011:IK6FHB3DZAHFNZAM2ZFY3VTUOU

not attested not anchored not stored refs pending

Hermitian unitary matrices with modular permutation symmetry

Ondrej Turek, Taksu Cheon

arxiv:1104.0408 v2 · 2011-04-03 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IK6FHB3DZAHFNZAM2ZFY3VTUOU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:31:21.717915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42bc538763c80e56e40cd64b8dd674751886c6d35aab3e2ba68914ba6d237b09

Aliases

arxiv: 1104.0408 · arxiv_version: 1104.0408v2 · doi: 10.48550/arxiv.1104.0408 · pith_short_12: IK6FHB3DZAHF · pith_short_16: IK6FHB3DZAHFNZAM · pith_short_8: IK6FHB3D

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/IK6FHB3DZAHFNZAM2ZFY3VTUOU \
  | 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: 42bc538763c80e56e40cd64b8dd674751886c6d35aab3e2ba68914ba6d237b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a69e2044d20633f46e0a6fbf57edd48c25214bab8cb8de8d926a9a8937e1e065",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-03T17:18:08Z",
    "title_canon_sha256": "8e054991a26f5d54b89df8f53c459d7063306c143d57716b3322e8e8221d880c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0408",
    "kind": "arxiv",
    "version": 2
  }
}