Pith Number

pith:SD7E4TJB

pith:2016:SD7E4TJBQ3D46DQV4BNR7A6SXG

not attested not anchored not stored refs pending

Numerical analysis for the moments of Bessel functions and Bessel-trigonometric functions

Jianshu Luo, Ying Li, Yinkun Wang

arxiv:1602.07062 v1 · 2016-02-23 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SD7E4TJBQ3D46DQV4BNR7A6SXG}

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	2026-05-18T01:20:07.260221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90fe4e4d2186c7cf0e15e05b1f83d2b98ac33871564aeaff87f6cea8eb6d1b9e

Aliases

arxiv: 1602.07062 · arxiv_version: 1602.07062v1 · doi: 10.48550/arxiv.1602.07062 · pith_short_12: SD7E4TJBQ3D4 · pith_short_16: SD7E4TJBQ3D46DQV · pith_short_8: SD7E4TJB

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/SD7E4TJBQ3D46DQV4BNR7A6SXG \
  | 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: 90fe4e4d2186c7cf0e15e05b1f83d2b98ac33871564aeaff87f6cea8eb6d1b9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11d7999f5e8f2eda5a90e7223f90b2a9c3e6e0be87d0b50a64b99ad345c8e632",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-02-23T07:25:31Z",
    "title_canon_sha256": "c3e6cb22cfe5d0d7ad0dc11af64557944dbc0b77e2d8aca7440a1e14ca8347c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07062",
    "kind": "arxiv",
    "version": 1
  }
}