Pith Number

pith:Q3JCYWWD

pith:2011:Q3JCYWWDFNDGVXSDUFOKS7WOCQ

not attested not anchored not stored refs pending

Quantum permutations, Hadamard matrices, and the search for matrix models

Teodor Banica

arxiv:1109.4888 v3 · 2011-09-22 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3JCYWWDFNDGVXSDUFOKS7WOCQ}

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	2026-05-18T03:31:30.967848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86d22c5ac32b466ade43a15ca97ece1439c6b8b4340ad396d3f5d90631e99e6e

Aliases

arxiv: 1109.4888 · arxiv_version: 1109.4888v3 · doi: 10.48550/arxiv.1109.4888 · pith_short_12: Q3JCYWWDFNDG · pith_short_16: Q3JCYWWDFNDGVXSD · pith_short_8: Q3JCYWWD

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/Q3JCYWWDFNDGVXSDUFOKS7WOCQ \
  | 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: 86d22c5ac32b466ade43a15ca97ece1439c6b8b4340ad396d3f5d90631e99e6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a00e95eb700fa49f776c38ee86de2356662e5a8e254877b16736f691acdbcf73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-09-22T16:49:15Z",
    "title_canon_sha256": "bac67291ef84cefdf84080527850b66d4d2272842d343b7eba9910e6257e6bb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4888",
    "kind": "arxiv",
    "version": 3
  }
}