Pith Number

pith:472JEU6U

pith:2014:472JEU6UHSHDGZFT7Y5PMKW6X5

not attested not anchored not stored refs pending

A Katznelson-Tzafriri theorem for measures

David Seifert

arxiv:1410.1301 v1 · 2014-10-06 · 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{472JEU6UHSHDGZFT7Y5PMKW6X5}

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	2026-05-18T02:29:02.530801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7f49253d43c8e3364b3fe3af62adebf47f08c72c5f3f2a873cd8a283d820c5f

Aliases

arxiv: 1410.1301 · arxiv_version: 1410.1301v1 · doi: 10.48550/arxiv.1410.1301 · pith_short_12: 472JEU6UHSHD · pith_short_16: 472JEU6UHSHDGZFT · pith_short_8: 472JEU6U

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/472JEU6UHSHDGZFT7Y5PMKW6X5 \
  | 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: e7f49253d43c8e3364b3fe3af62adebf47f08c72c5f3f2a873cd8a283d820c5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bd79f5c855c0cc7687855f68911266cecfede703ed950edf7eb1f39afb11986",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-10-06T09:36:10Z",
    "title_canon_sha256": "da0030c8fae6c7c8179c4dafbbfbce59b7d7e75a182c25aaa87e14b94ea4da14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1301",
    "kind": "arxiv",
    "version": 1
  }
}