Pith Number

pith:WCEQ5AXW

pith:2025:WCEQ5AXWOSUPHVSGJZGPUIXRWN

not attested not anchored not stored refs pending

Learning with Expected Signatures: Theory and Applications

Almut E. D. Veraart, Lorenzo Lucchese, Mikko S. Pakkanen

arxiv:2505.20465 v1 · 2025-05-26 · stat.ML · cs.LG · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCEQ5AXWOSUPHVSGJZGPUIXRWN}

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

2 papers in Pith

Generative Path-Law Jump-Diffusion: Sequential MMD-Gradient Flows and Generalisation Bounds in Marcus-Signature RKHS

Anticipatory Reinforcement Learning: From Generative Path-Laws to Distributional Value Functions

Receipt and verification

First computed	2026-07-05T11:11:22.982602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0890e82f674a8f3d6464e4cfa22f1b36312f6554b3a27d92838bb3bc05430bf

Aliases

arxiv: 2505.20465 · arxiv_version: 2505.20465v1 · doi: 10.48550/arxiv.2505.20465 · pith_short_12: WCEQ5AXWOSUP · pith_short_16: WCEQ5AXWOSUPHVSG · pith_short_8: WCEQ5AXW

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/WCEQ5AXWOSUPHVSGJZGPUIXRWN \
  | 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: b0890e82f674a8f3d6464e4cfa22f1b36312f6554b3a27d92838bb3bc05430bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "323b5ebbedfcbe144176f5744968f0ce34b86bcc5e4fbbbb8cf721d2991d658a",
    "cross_cats_sorted": [
      "cs.LG",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-05-26T19:01:20Z",
    "title_canon_sha256": "e41288ba5a047d7fd0844d5ba7eb02ebbc1a2a3e076a39888df00d2861cd45b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.20465",
    "kind": "arxiv",
    "version": 1
  }
}