Pith Number

pith:TQD23IRM

pith:2016:TQD23IRM4OMNVQDL566GEXCAHH

not attested not anchored not stored refs pending

Optimal blow up rate for the constants of Khinchin type inequalities

Daniel Pellegrino, Djair Santos, Joedson Santos

arxiv:1610.02178 v1 · 2016-10-07 · 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{TQD23IRM4OMNVQDL566GEXCAHH}

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	2026-05-18T01:02:58.180699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c07ada22ce398dac06befbc625c4039d5933d9d4ea3131a2e82c1d0a72abd77

Aliases

arxiv: 1610.02178 · arxiv_version: 1610.02178v1 · doi: 10.48550/arxiv.1610.02178 · pith_short_12: TQD23IRM4OMN · pith_short_16: TQD23IRM4OMNVQDL · pith_short_8: TQD23IRM

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/TQD23IRM4OMNVQDL566GEXCAHH \
  | 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: 9c07ada22ce398dac06befbc625c4039d5933d9d4ea3131a2e82c1d0a72abd77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95fdd1d3721c1ded0e7e104856975e4252c9c69a844513c540e77ff951ec82b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-07T08:24:49Z",
    "title_canon_sha256": "2362180cd318b84e6e8c1cf7ae922b1ba1eb7293c3873c039ee31ff4410d3fc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02178",
    "kind": "arxiv",
    "version": 1
  }
}