Pith Number

pith:3S2OOUZK

pith:2015:3S2OOUZK4Q36A7SVSPQ4EQWPSA

not attested not anchored not stored refs pending

Isometries of the Toeplitz Matrix Algebra

Alexey I. Popov, Douglas Farenick, Mitja Mastnak

arxiv:1502.01573 v1 · 2015-02-05 · math.FA · math.OA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3S2OOUZK4Q36A7SVSPQ4EQWPSA}

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	2026-05-18T02:27:51.747376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcb4e7532ae437e07e5593e1c242cf903833aa308eaea69764231281a6006e89

Aliases

arxiv: 1502.01573 · arxiv_version: 1502.01573v1 · doi: 10.48550/arxiv.1502.01573 · pith_short_12: 3S2OOUZK4Q36 · pith_short_16: 3S2OOUZK4Q36A7SV · pith_short_8: 3S2OOUZK

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/3S2OOUZK4Q36A7SVSPQ4EQWPSA \
  | 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: dcb4e7532ae437e07e5593e1c242cf903833aa308eaea69764231281a6006e89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7940bf4dbe4caccf24453368d792eed0bb5cf70bdd1485f0e19f0a36c6b11613",
    "cross_cats_sorted": [
      "math.OA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-02-05T14:45:38Z",
    "title_canon_sha256": "1cb8e418e0be374338d518a31fe2ce8ac7a3997b6d29d5f9707f1d1c5de8566c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01573",
    "kind": "arxiv",
    "version": 1
  }
}