Pith Number

pith:5ZPPGECK

pith:2017:5ZPPGECKRLVHE27KOPQ4VPCJ4V

not attested not anchored not stored refs pending

A general approximation approach for the simultaneous treatment of integral and discrete operators

Gianluca Vinti, Luca Zampogni

arxiv:1711.09230 v1 · 2017-11-25 · 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{5ZPPGECKRLVHE27KOPQ4VPCJ4V}

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	2026-05-18T00:29:40.132575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee5ef3104a8aea726bea73e1cabc49e545b0d7fd47ede6b45b07bcfbfdcf8938

Aliases

arxiv: 1711.09230 · arxiv_version: 1711.09230v1 · doi: 10.48550/arxiv.1711.09230 · pith_short_12: 5ZPPGECKRLVH · pith_short_16: 5ZPPGECKRLVHE27K · pith_short_8: 5ZPPGECK

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/5ZPPGECKRLVHE27KOPQ4VPCJ4V \
  | 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: ee5ef3104a8aea726bea73e1cabc49e545b0d7fd47ede6b45b07bcfbfdcf8938

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2af6148142e2924b536f8d101a7bf875df4add66c41d48ac37dc516e77b136d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-25T12:06:36Z",
    "title_canon_sha256": "c40c52ac31381c0be4580c87b1e220160df8bbdf52012c55fcf91e9fdf43af12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09230",
    "kind": "arxiv",
    "version": 1
  }
}