Pith Number

pith:2EZHO36O

pith:2026:2EZHO36OXZ76EMLNFJMBZPBIBU

not attested not anchored not stored refs pending

The Volterra signature

Fabian N. Harang, Luca Pelizzari, Paul P. Hager, Samy Tindel

arxiv:2603.04525 v2 · 2026-03-04 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2EZHO36OXZ76EMLNFJMBZPBIBU}

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.

Cited by

3 papers in Pith

Computational aspects of the Volterra Signature

Universal Approximation of Nonlinear Operators and Their Derivatives

Adaptive Learning via Off-Model Training and Importance Sampling for Fully Non-Markovian Optimal Stochastic Control. Complete version

Receipt and verification

First computed	2026-05-22T01:03:59.668533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d132776fcebe7fe2316d2a581cbc280d38631af05e7c39e9f542ececd90ec1fa

Aliases

arxiv: 2603.04525 · arxiv_version: 2603.04525v2 · doi: 10.48550/arxiv.2603.04525 · pith_short_12: 2EZHO36OXZ76 · pith_short_16: 2EZHO36OXZ76EMLN · pith_short_8: 2EZHO36O

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/2EZHO36OXZ76EMLNFJMBZPBIBU \
  | 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: d132776fcebe7fe2316d2a581cbc280d38631af05e7c39e9f542ececd90ec1fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac7fccc019885257bfab6ac2d357aa83ab2232e10edfc56b2389a63f1fd37e5d",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-03-04T19:10:28Z",
    "title_canon_sha256": "cf7edec09590f8230763cdc1f29866149acdad78b79bab612ff7ba858e9fcd17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.04525",
    "kind": "arxiv",
    "version": 2
  }
}