Pith Number

pith:346CGISB

pith:2012:346CGISBFZJJMAOVQOD5CIU4YM

not attested not anchored not stored refs pending

Besov regularity of the uniform empirical process

Ahmadou Bamba Sow, Gane Samb Lo

arxiv:1208.4551 v2 · 2012-08-22 · 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{346CGISBFZJJMAOVQOD5CIU4YM}

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	2026-05-18T02:25:05.918742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df3c2322412e529601d58387d1229cc33b4ae3d3c34d5a6175339f65797c77e3

Aliases

arxiv: 1208.4551 · arxiv_version: 1208.4551v2 · doi: 10.48550/arxiv.1208.4551 · pith_short_12: 346CGISBFZJJ · pith_short_16: 346CGISBFZJJMAOV · pith_short_8: 346CGISB

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/346CGISBFZJJMAOVQOD5CIU4YM \
  | 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: df3c2322412e529601d58387d1229cc33b4ae3d3c34d5a6175339f65797c77e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75d5e7e8e9275da5ffaafbf810e5e67c201dfb166339b692f89ba9acb3703b27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-22T16:41:01Z",
    "title_canon_sha256": "5d83679f3c2936224699b64e1d43bbabc5e96b065e05d3c37bc322ade3a056e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4551",
    "kind": "arxiv",
    "version": 2
  }
}