Pith Number

pith:KERA7W6T

pith:2012:KERA7W6TPVTC7LC4L2R4TR7PX5

not attested not anchored not stored refs pending

Operators with absolute continuity properties: an application to quasinormality

Il Bong Jung, Jan Stochel, Zenon Jan Jablonski

arxiv:1204.2866 v1 · 2012-04-13 · 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{KERA7W6TPVTC7LC4L2R4TR7PX5}

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	2026-05-18T03:10:37.435538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51220fdbd37d662fac5c5ea3c9c7efbf6911f60258e9955fb188dc35c70fadfc

Aliases

arxiv: 1204.2866 · arxiv_version: 1204.2866v1 · doi: 10.48550/arxiv.1204.2866 · pith_short_12: KERA7W6TPVTC · pith_short_16: KERA7W6TPVTC7LC4 · pith_short_8: KERA7W6T

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/KERA7W6TPVTC7LC4L2R4TR7PX5 \
  | 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: 51220fdbd37d662fac5c5ea3c9c7efbf6911f60258e9955fb188dc35c70fadfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41a5cc612e7d99e69bfd15e4973147207280ae80ab15a40c47f2d3a22f816c38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-13T02:48:44Z",
    "title_canon_sha256": "da7f8496c85e9eadf0aee9fe69c4d0a186711d5af5d55089cf3759796bb15b4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2866",
    "kind": "arxiv",
    "version": 1
  }
}