Pith Number

pith:4YH3O6WY

pith:2015:4YH3O6WYDHFHDNLFYPCKGL37DF

not attested not anchored not stored refs pending

Regularity of stochastic Volterra equations by functional calculus methods

Mark Veraar, Roland Schnaubelt

arxiv:1512.02485 v2 · 2015-12-08 · math.PR · math.AP · 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{4YH3O6WYDHFHDNLFYPCKGL37DF}

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	2026-05-18T01:09:36.280347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e60fb77ad819ca71b565c3c4a32f7f19725f2163e34f8eeb2cdd077dc98cbe06

Aliases

arxiv: 1512.02485 · arxiv_version: 1512.02485v2 · doi: 10.48550/arxiv.1512.02485 · pith_short_12: 4YH3O6WYDHFH · pith_short_16: 4YH3O6WYDHFHDNLF · pith_short_8: 4YH3O6WY

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/4YH3O6WYDHFHDNLFYPCKGL37DF \
  | 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: e60fb77ad819ca71b565c3c4a32f7f19725f2163e34f8eeb2cdd077dc98cbe06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e48a16eded7049575e3387ead7d20fbc41d8fd48246daa98aa5d4226ba52830",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-08T14:35:40Z",
    "title_canon_sha256": "2b6604e30cb33967e4c08f23c77b04f1d869f574f559c92623cdc45de293d530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02485",
    "kind": "arxiv",
    "version": 2
  }
}