Pith Number

pith:KRZM2BE2

pith:2012:KRZM2BE26IJH7ALBGWGYM55FSA

not attested not anchored not stored refs pending

Uniform integrability and local convexity in $L^0$

Constantinos Kardaras

arxiv:1211.0475 v1 · 2012-11-02 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KRZM2BE26IJH7ALBGWGYM55FSA}

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	2026-05-18T03:41:40.823902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5472cd049af2127f8161358d8677a59022ee63d6e27f093b29557b7f487a1612

Aliases

arxiv: 1211.0475 · arxiv_version: 1211.0475v1 · doi: 10.48550/arxiv.1211.0475 · pith_short_12: KRZM2BE26IJH · pith_short_16: KRZM2BE26IJH7ALB · pith_short_8: KRZM2BE2

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/KRZM2BE26IJH7ALBGWGYM55FSA \
  | 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: 5472cd049af2127f8161358d8677a59022ee63d6e27f093b29557b7f487a1612

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce05fd3b4ecfde3951f6e593c91667a365b7ac97438565139441ca4817f4df33",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-02T15:41:11Z",
    "title_canon_sha256": "489666a3e1a553702c52daeb9d9a1dfa347ecb0c121f0aa4587a35359c393e62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0475",
    "kind": "arxiv",
    "version": 1
  }
}