Pith Number

pith:DGZODHPQ

pith:2012:DGZODHPQMMYHOEUWC445CIDCZ6

not attested not anchored not stored refs pending

Topological Wiener-Wintner theorems for amenable operator semigroups

Marco Schreiber

arxiv:1210.0108 v2 · 2012-09-29 · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DGZODHPQMMYHOEUWC445CIDCZ6}

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	2026-05-18T03:35:13.677909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19b2e19df063307712961739d12062cfb5081efe722a0488f2b6df00e57f8efd

Aliases

arxiv: 1210.0108 · arxiv_version: 1210.0108v2 · doi: 10.48550/arxiv.1210.0108 · pith_short_12: DGZODHPQMMYH · pith_short_16: DGZODHPQMMYHOEUW · pith_short_8: DGZODHPQ

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/DGZODHPQMMYHOEUWC445CIDCZ6 \
  | 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: 19b2e19df063307712961739d12062cfb5081efe722a0488f2b6df00e57f8efd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df8350a02d48f4eba6509e948ee8dd01614cdce0bac31a0c760bd61408209a9e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-09-29T14:12:57Z",
    "title_canon_sha256": "e9485e2c80dc46026fe7d15356fb96f3b102740c47e8684d3d272ba1c7bcd248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0108",
    "kind": "arxiv",
    "version": 2
  }
}