Pith Number

pith:S46B6RNW

pith:2025:S46B6RNWXX7ZRCSTG5AMJLCKKL

not attested not anchored not stored refs pending

On almost commuting unitary matrices

Adam Dor-On, Ilya Kachkovskiy, Lucas Hall

arxiv:2510.03674 v3 · 2025-10-04 · math.OA · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S46B6RNWXX7ZRCSTG5AMJLCKKL}

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	2026-07-23T01:24:17.575459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

973c1f45b6bdff988a533740c4ac4a52caf75f204ba07e036d608033c0fd66fa

Aliases

arxiv: 2510.03674 · arxiv_version: 2510.03674v3 · doi: 10.48550/arxiv.2510.03674 · pith_short_12: S46B6RNWXX7Z · pith_short_16: S46B6RNWXX7ZRCST · pith_short_8: S46B6RNW

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/S46B6RNWXX7ZRCSTG5AMJLCKKL \
  | 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: 973c1f45b6bdff988a533740c4ac4a52caf75f204ba07e036d608033c0fd66fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94d478422060ae9d86b0668e0fe1722983c70151434d0578fc565f3bfa991bae",
    "cross_cats_sorted": [
      "math.FA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-10-04T05:01:52Z",
    "title_canon_sha256": "61a62cb0e50775ab8ad1f174da7bcd4f5ab23f174edb91bdeadfe6e3e52fca9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.03674",
    "kind": "arxiv",
    "version": 3
  }
}