Pith Number

pith:PBFQOSL2

pith:2011:PBFQOSL2TSWCGWESHHSRJRS2IB

not attested not anchored not stored refs pending

Weak Convergence of CD Kernels: A New Approach on the Circle and Real Line

Brian Simanek

arxiv:1103.1945 v2 · 2011-03-10 · math.SP · math-ph · 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{PBFQOSL2TSWCGWESHHSRJRS2IB}

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	2026-05-18T04:02:36.119495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

784b07497a9cac23589239e514c65a4070b199378f0c5df13172a1be13b6068b

Aliases

arxiv: 1103.1945 · arxiv_version: 1103.1945v2 · doi: 10.48550/arxiv.1103.1945 · pith_short_12: PBFQOSL2TSWC · pith_short_16: PBFQOSL2TSWCGWES · pith_short_8: PBFQOSL2

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/PBFQOSL2TSWCGWESHHSRJRS2IB \
  | 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: 784b07497a9cac23589239e514c65a4070b199378f0c5df13172a1be13b6068b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7632b2894c8df8313120b4b16fe09fa2ef29cd21d3b84fe23175c14116a4b719",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-03-10T06:10:47Z",
    "title_canon_sha256": "7777e64c48cab5fa10e8ebd47ae97076c8792fdd232961f8958146c78826e9c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1945",
    "kind": "arxiv",
    "version": 2
  }
}