Pith Number

pith:4HTYABVV

pith:2011:4HTYABVVDZPRFYXDT3BFBVWKVO

not attested not anchored not stored refs pending

Monte-Carlo method for multiple parametric integrals calculation and solving of linear integral Fredholm equations of a second kind, with confidence regions in uniform norm

E.Ostrovsky, L.Sirota

arxiv:1101.5381 v1 · 2011-01-27 · math.FA · 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{4HTYABVVDZPRFYXDT3BFBVWKVO}

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	2026-05-18T04:30:35.576202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1e78006b51e5f12e2e39ec250d6caab9f26aad304c5233a67d13215820df0c2

Aliases

arxiv: 1101.5381 · arxiv_version: 1101.5381v1 · doi: 10.48550/arxiv.1101.5381 · pith_short_12: 4HTYABVVDZPR · pith_short_16: 4HTYABVVDZPRFYXD · pith_short_8: 4HTYABVV

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/4HTYABVVDZPRFYXDT3BFBVWKVO \
  | 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: e1e78006b51e5f12e2e39ec250d6caab9f26aad304c5233a67d13215820df0c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e6617a3753d74f52679b45fa159dc98c3411807cd8e3e8cb798e7d8768d5d4",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-01-27T20:21:13Z",
    "title_canon_sha256": "2a22331c3dab2ff63fcfde828c954b00d13a50db44a37a0a5403d2a3a35672d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5381",
    "kind": "arxiv",
    "version": 1
  }
}