Pith Number

pith:G4VFU5VW

pith:2004:G4VFU5VWQU6S3FKQGPVRXUE32I

not attested not anchored not stored refs pending

On numerical solutions to stochastic Volterra equations

Anna Karczewska, Piotr Rozmej

arxiv:math/0409026 v2 · 2004-09-02 · math.PR · 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{G4VFU5VWQU6S3FKQGPVRXUE32I}

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	2026-06-03T22:06:15.659035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

372a5a76b6853d2d955033eb1bd09bd22134e49856f9155d0c7daeeb19633292

Aliases

arxiv: math/0409026 · arxiv_version: math/0409026v2 · doi: 10.48550/arxiv.math/0409026 · pith_short_12: G4VFU5VWQU6S · pith_short_16: G4VFU5VWQU6S3FKQ · pith_short_8: G4VFU5VW

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/G4VFU5VWQU6S3FKQGPVRXUE32I \
  | 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: 372a5a76b6853d2d955033eb1bd09bd22134e49856f9155d0c7daeeb19633292

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c826ca68c7782e5780e82c5c654c3eb9b6323501d5b6ef10ce6b1395854b50c7",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-09-02T10:56:50Z",
    "title_canon_sha256": "6dd9b524f58f755ed620ca203b508ebf5038304805fef35f6e378f094f0aeb46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409026",
    "kind": "arxiv",
    "version": 2
  }
}