Pith Number

pith:IRWMY7PG

pith:2019:IRWMY7PGWQ5XCVCY2Y5F4LE76J

not attested not anchored not stored refs pending

A residue theorem for polar analytic functions and Mellin analogues of Boas' differentiation formula and Valiron's sampling formula

Carlo Bardaro, Gerhard Schmeisser, Ilaria Mantellini, Paul L. Butzer

arxiv:1906.01854 v1 · 2019-06-05 · math.CV · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IRWMY7PGWQ5XCVCY2Y5F4LE76J}

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	2026-05-17T23:44:05.975504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

446ccc7de6b43b715458d63a5e2c9ff272a810d1e73fdb185d6785642e864266

Aliases

arxiv: 1906.01854 · arxiv_version: 1906.01854v1 · doi: 10.48550/arxiv.1906.01854 · pith_short_12: IRWMY7PGWQ5X · pith_short_16: IRWMY7PGWQ5XCVCY · pith_short_8: IRWMY7PG

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/IRWMY7PGWQ5XCVCY2Y5F4LE76J \
  | 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: 446ccc7de6b43b715458d63a5e2c9ff272a810d1e73fdb185d6785642e864266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d43a3588d220db1088f702427399c6e0190c50f5e48c921b3c2f748125651b56",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-06-05T07:02:35Z",
    "title_canon_sha256": "007e5569707973d73805967fcc7a43827c8892bd54c6edad1ca02ef7debbe3c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01854",
    "kind": "arxiv",
    "version": 1
  }
}