Pith Number

pith:QRPLITON

pith:2006:QRPLITONC4YYJM4IFBPEEB7TZW

not attested not anchored not stored refs pending

Vector semi-Fredholm Toeplitz operators and mean winding numbers

Dmitry V. Yakubovich

arxiv:math/0606153 v3 · 2006-06-07 · math.FA · math.CV · 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{QRPLITONC4YYJM4IFBPEEB7TZW}

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	2026-05-18T04:33:48.874811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

845eb44dcd173184b388285e4207f3cd9ebbad5e9b29842aad7d0c324cd66a92

Aliases

arxiv: math/0606153 · arxiv_version: math/0606153v3 · doi: 10.48550/arxiv.math/0606153 · pith_short_12: QRPLITONC4YY · pith_short_16: QRPLITONC4YYJM4I · pith_short_8: QRPLITON

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/QRPLITONC4YYJM4IFBPEEB7TZW \
  | 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: 845eb44dcd173184b388285e4207f3cd9ebbad5e9b29842aad7d0c324cd66a92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34fb5154931e13fd860f4d24e0112ea5cf700ee0614383dd577023218fd1214c",
    "cross_cats_sorted": [
      "math.CV",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2006-06-07T13:34:27Z",
    "title_canon_sha256": "e5b915264f6289d18cf25292f9a2794648bc7c66bd57fc78f6bfd63a1da50770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606153",
    "kind": "arxiv",
    "version": 3
  }
}