Pith Number

pith:KLFEBHLF

pith:2019:KLFEBHLFHEOYHNX5VC4CNKEPNY

not attested not anchored not stored refs pending

Flexible versions of the Stone-Weierstrass Theorem in General and Applications to Probability Theory

Gane Samb Lo

arxiv:1905.03409 v1 · 2019-05-09 · 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{KLFEBHLFHEOYHNX5VC4CNKEPNY}

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	2026-05-17T23:46:40.021233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52ca409d65391d83b6fda8b826a88f6e3792a363719dc85a2e85e51b377c907e

Aliases

arxiv: 1905.03409 · arxiv_version: 1905.03409v1 · doi: 10.48550/arxiv.1905.03409 · pith_short_12: KLFEBHLFHEOY · pith_short_16: KLFEBHLFHEOYHNX5 · pith_short_8: KLFEBHLF

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/KLFEBHLFHEOYHNX5VC4CNKEPNY \
  | 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: 52ca409d65391d83b6fda8b826a88f6e3792a363719dc85a2e85e51b377c907e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03a15f43cc9fc8ba563b297e51c026933fa6593e0f9a92c9b4eec99713df923f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-05-09T02:07:05Z",
    "title_canon_sha256": "fc05906d4c4710728f8cac2146dc58330c9f40e721cca0049984daa6b52f7d97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03409",
    "kind": "arxiv",
    "version": 1
  }
}