pith. sign in
Pith Number

pith:6DAAZAME

pith:2010:6DAAZAME7PTLJIWOUMEREU52WN
not attested not anchored not stored refs pending

Almost commuting self-adjoint matrices --- the real and self-dual cases

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

arxiv:1012.3494 v3 · 2010-12-16 · math.OA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6DAAZAME7PTLJIWOUMEREU52WN}

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 2026-05-18T01:06:23.351403Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f0c00c8184fbe6b4a2cea3091253bab3639ce61969c6b8b0a6b3cf3945946fb5

Aliases

arxiv: 1012.3494 · arxiv_version: 1012.3494v3 · doi: 10.48550/arxiv.1012.3494 · pith_short_12: 6DAAZAME7PTL · pith_short_16: 6DAAZAME7PTLJIWO · pith_short_8: 6DAAZAME
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6DAAZAME7PTLJIWOUMEREU52WN \
  | 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: f0c00c8184fbe6b4a2cea3091253bab3639ce61969c6b8b0a6b3cf3945946fb5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "86c83331b77d1f8feea75f9afbdf97c4ee83faf18eb38102509297d36eb38925",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-12-16T00:26:54Z",
    "title_canon_sha256": "65e101735d474a7db7b5a587eccef798c06f4bd47aba4a1de148d9d064f60456"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3494",
    "kind": "arxiv",
    "version": 3
  }
}