Pith Number

pith:T5C23MSZ

pith:2026:T5C23MSZAOGXYJ45MPE6LUOVUS

not attested not anchored not stored refs pending

Explicit confidence bands and intervals for distribution functions and their derivatives via random Weierstrass-type operators

C. Sang\"uesa, Jos\'e A. Adell, J. T. Alcal\'a

arxiv:2606.24345 v1 · 2026-06-23 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T5C23MSZAOGXYJ45MPE6LUOVUS}

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	2026-06-24T01:15:27.787384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f45adb259038d7c279d63c9e5d1d5a48b0d58cfe58374d906906d8db25aca2c

Aliases

arxiv: 2606.24345 · arxiv_version: 2606.24345v1 · doi: 10.48550/arxiv.2606.24345 · pith_short_12: T5C23MSZAOGX · pith_short_16: T5C23MSZAOGXYJ45 · pith_short_8: T5C23MSZ

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/T5C23MSZAOGXYJ45MPE6LUOVUS \
  | 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: 9f45adb259038d7c279d63c9e5d1d5a48b0d58cfe58374d906906d8db25aca2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "865f7e287535851a8a52ff787472a6842b0d8688113ae40b18856ea403fcc297",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-23T09:37:28Z",
    "title_canon_sha256": "3620116b915ed50dee78c93748d2b5c99a23f061f66e4866dfe619d5af29d7ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24345",
    "kind": "arxiv",
    "version": 1
  }
}