Pith Number

pith:TKJ3OEUG

pith:2019:TKJ3OEUGSYTXNTPQL2GRRL5IES

not attested not anchored not stored refs pending

Commutativity preserving transformations on conjugacy classes of finite rank self-adjoint operators

Mark Pankov

arxiv:1905.03880 v1 · 2019-05-09 · math.FA · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKJ3OEUGSYTXNTPQL2GRRL5IES}

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	2026-05-17T23:46:35.322630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a93b71286962776cdf05e8d18afa824841b622a3c445d3152a80f51f89fa59c

Aliases

arxiv: 1905.03880 · arxiv_version: 1905.03880v1 · doi: 10.48550/arxiv.1905.03880 · pith_short_12: TKJ3OEUGSYTX · pith_short_16: TKJ3OEUGSYTXNTPQ · pith_short_8: TKJ3OEUG

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/TKJ3OEUGSYTXNTPQL2GRRL5IES \
  | 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: 9a93b71286962776cdf05e8d18afa824841b622a3c445d3152a80f51f89fa59c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f65053322e5add549c35ccbfb1c5cf45bbf23d2c14ca8823fb6078f53a841fcb",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-05-09T22:31:15Z",
    "title_canon_sha256": "88fbb7eb63d26fa71581dcad0925cab4cf33f5a695280735eb56f4d966631c1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03880",
    "kind": "arxiv",
    "version": 1
  }
}