Pith Number

pith:FGF4VK32

pith:2016:FGF4VK32I5ZFG3PZ5IZOXUCLU4

not attested not anchored not stored refs pending

On the Petras algorithm for verified integration of piecewise analytic functions

Ma{\l}gorzata Moczurad, Piotr Zgliczy\'nski

arxiv:1603.03945 v1 · 2016-03-12 · cs.NA · 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{FGF4VK32I5ZFG3PZ5IZOXUCLU4}

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	2026-05-18T01:19:09.926063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

298bcaab7a4772536df9ea32ebd04ba70687b71faad40e2fabef565e10d951b8

Aliases

arxiv: 1603.03945 · arxiv_version: 1603.03945v1 · doi: 10.48550/arxiv.1603.03945 · pith_short_12: FGF4VK32I5ZF · pith_short_16: FGF4VK32I5ZFG3PZ · pith_short_8: FGF4VK32

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/FGF4VK32I5ZFG3PZ5IZOXUCLU4 \
  | 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: 298bcaab7a4772536df9ea32ebd04ba70687b71faad40e2fabef565e10d951b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef69be70cd3c4a36d7035022c258df50d8d98e1bb78c5a89bc632ab32b8781e2",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2016-03-12T17:24:34Z",
    "title_canon_sha256": "91108559f2964ac9fa2fb45e1d9493192c6a7cd500bfaaf1dec3e2f846916bf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03945",
    "kind": "arxiv",
    "version": 1
  }
}