Pith Number

pith:X5GRKN2O

pith:2013:X5GRKN2OYDGDIFFJLLTTMPT2SS

not attested not anchored not stored refs pending

Almost Commuting Orthogonal Matrices

Adam P. W. S{\o}rensen, Terry A. Loring

arxiv:1311.4575 v1 · 2013-11-18 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5GRKN2OYDGDIFFJLLTTMPT2SS}

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	2026-05-18T02:18:50.012402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf4d15374ec0cc3414a95ae7363e7a94847952bf350e99f2bc69f1dcb4b391e9

Aliases

arxiv: 1311.4575 · arxiv_version: 1311.4575v1 · doi: 10.48550/arxiv.1311.4575 · pith_short_12: X5GRKN2OYDGD · pith_short_16: X5GRKN2OYDGDIFFJ · pith_short_8: X5GRKN2O

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/X5GRKN2OYDGDIFFJLLTTMPT2SS \
  | 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: bf4d15374ec0cc3414a95ae7363e7a94847952bf350e99f2bc69f1dcb4b391e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4e7f9c26d06b4ba5a174b05948b2289b007c6d067a60e6d224e4ac7be767677",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-11-18T22:33:20Z",
    "title_canon_sha256": "787434a61d5194e62182f14dce2f4a70256d7ac660457e755801d8e97840fb0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4575",
    "kind": "arxiv",
    "version": 1
  }
}