Pith Number

pith:2HHTBLIO

pith:2011:2HHTBLIOSANAU75CHI6WKTTQON

not attested not anchored not stored refs pending

Stochastic order characterization of uniform integrability and tightness

Lasse Leskel\"a, Matti Vihola

arxiv:1106.0607 v1 · 2011-06-03 · math.PR · 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{2HHTBLIOSANAU75CHI6WKTTQON}

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	2026-05-18T04:20:49.088682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1cf30ad0e901a0a7fa23a3d654e707374e5eed69682b27afd0928235cfd3a6e

Aliases

arxiv: 1106.0607 · arxiv_version: 1106.0607v1 · doi: 10.48550/arxiv.1106.0607 · pith_short_12: 2HHTBLIOSANA · pith_short_16: 2HHTBLIOSANAU75C · pith_short_8: 2HHTBLIO

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/2HHTBLIOSANAU75CHI6WKTTQON \
  | 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: d1cf30ad0e901a0a7fa23a3d654e707374e5eed69682b27afd0928235cfd3a6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dba397109034031676a19320858df687258fbcc309b134ede042989f9dcbaf3e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-03T10:34:12Z",
    "title_canon_sha256": "a8b5ed61a643a872a39fa4d7d4754b94c71444f86330d1995f2776be03fcdaf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0607",
    "kind": "arxiv",
    "version": 1
  }
}