Pith Number

pith:4NLQLSR5

pith:2016:4NLQLSR5WJNFNXITNUWLPV7IC7

not attested not anchored not stored refs pending

A generalization of the exponential sampling series and its approximation properties

Carlo Bardaro, Ilaria Mantellini, Loris Faina

arxiv:1609.02757 v2 · 2016-09-09 · 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{4NLQLSR5WJNFNXITNUWLPV7IC7}

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	2026-05-18T01:03:35.976697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e35705ca3db25a56dd136d2cb7d7e817d96744591c72fe4160483f086c8655b6

Aliases

arxiv: 1609.02757 · arxiv_version: 1609.02757v2 · doi: 10.48550/arxiv.1609.02757 · pith_short_12: 4NLQLSR5WJNF · pith_short_16: 4NLQLSR5WJNFNXIT · pith_short_8: 4NLQLSR5

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/4NLQLSR5WJNFNXITNUWLPV7IC7 \
  | 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: e35705ca3db25a56dd136d2cb7d7e817d96744591c72fe4160483f086c8655b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2777fba7c8759e77c061daaeab3c8c5dbc1645b5c06eb0f7239681eb3634e2c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-09T12:11:32Z",
    "title_canon_sha256": "34f00cdaccdd3e2e08452ea16b75b34dec26075efb733ee8098aed0551df5449"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02757",
    "kind": "arxiv",
    "version": 2
  }
}