Pith Number

pith:J2WC6PB6

pith:2017:J2WC6PB6BHYTIGPTWAUFYA3SNZ

not attested not anchored not stored refs pending

Case study: Approximations of the Bessel Function

A.C. Antoulas, D.S. Karachalios, I.V. Gosea, Q. Zhang

arxiv:1801.03390 v1 · 2017-12-31 · 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{J2WC6PB6BHYTIGPTWAUFYA3SNZ}

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	2026-05-18T00:26:17.201606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eac2f3c3e09f13419f3b0285c03726e69b75511af8b60b1f7a966478d49dade

Aliases

arxiv: 1801.03390 · arxiv_version: 1801.03390v1 · doi: 10.48550/arxiv.1801.03390 · pith_short_12: J2WC6PB6BHYT · pith_short_16: J2WC6PB6BHYTIGPT · pith_short_8: J2WC6PB6

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/J2WC6PB6BHYTIGPTWAUFYA3SNZ \
  | 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: 4eac2f3c3e09f13419f3b0285c03726e69b75511af8b60b1f7a966478d49dade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62715f5d7b9fdda77e829737b51d671afc49c5d15a1f809556775cff857c2eca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-12-31T11:22:25Z",
    "title_canon_sha256": "ad98cc22872a4ea4687cc682d07f6dcd7851aee819e6cce6b7c1a2241a058fb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03390",
    "kind": "arxiv",
    "version": 1
  }
}