Pith Number

pith:3MHKELGF

pith:2026:3MHKELGFIW3BMJCIEFHONAIVSU

not attested not anchored not stored refs pending

Weighted Uniform Endpoint Majorants for Integrals Involving Modified Bessel Functions

Yaoran Yang, Yutong Zhang

arxiv:2605.20983 v1 · 2026-05-20 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MHKELGFIW3BMJCIEFHONAIVSU}

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	2026-05-21T01:05:30.979325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db0ea22cc545b6162448214ee681159502561f84a9875f1f65bb5151d05f31f8

Aliases

arxiv: 2605.20983 · arxiv_version: 2605.20983v1 · doi: 10.48550/arxiv.2605.20983 · pith_short_12: 3MHKELGFIW3B · pith_short_16: 3MHKELGFIW3BMJCI · pith_short_8: 3MHKELGF

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/3MHKELGFIW3BMJCIEFHONAIVSU \
  | 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: db0ea22cc545b6162448214ee681159502561f84a9875f1f65bb5151d05f31f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d7e950076a85287b9389cd4ec78c6ac943203b266cdcb7e82693f28d39221b3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-05-20T10:14:17Z",
    "title_canon_sha256": "0885592be85138a069b309e96cc1749b717f8c8760605ed1103a4063fcef918b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20983",
    "kind": "arxiv",
    "version": 1
  }
}