Pith Number

pith:VBVSQ4Q4

pith:2008:VBVSQ4Q4X7I2CYAFYWSE5EZJDI

not attested not anchored not stored refs pending

Numerical Solution of Multiple Nonlinear Volterra Integral Equations

S. A. Belbas, Yuriy Bulka

arxiv:0809.3049 v2 · 2008-09-18 · math.NA · cs.NA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBVSQ4Q4X7I2CYAFYWSE5EZJDI}

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	2026-06-03T22:06:10.084924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86b28721cbfd1a16005c5a44e93291a1cde9e264c06cff1b2eea902b9b0df67

Aliases

arxiv: 0809.3049 · arxiv_version: 0809.3049v2 · doi: 10.48550/arxiv.0809.3049 · pith_short_12: VBVSQ4Q4X7I2 · pith_short_16: VBVSQ4Q4X7I2CYAF · pith_short_8: VBVSQ4Q4

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/VBVSQ4Q4X7I2CYAFYWSE5EZJDI \
  | 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: a86b28721cbfd1a16005c5a44e93291a1cde9e264c06cff1b2eea902b9b0df67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16a9933bbb3740b1376e737c7fffdccd2c9d76a25aa007c39d16fae8f10424c1",
    "cross_cats_sorted": [
      "cs.NA",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-09-18T01:54:19Z",
    "title_canon_sha256": "e1a263515027458255c66f73d43074618b0803cf7e2c3815c5f8aa05712056af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.3049",
    "kind": "arxiv",
    "version": 2
  }
}