Pith Number

pith:5DDK4APP

pith:2016:5DDK4APPWB45JIALYGB6AMUCVK

not attested not anchored not stored refs pending

Empirical risk minimization and complexity of dynamical models

Andrew B. Nobel, Kevin McGoff

arxiv:1611.06173 v2 · 2016-11-18 · math.ST · math.DS · 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{5DDK4APPWB45JIALYGB6AMUCVK}

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	2026-05-18T00:25:21.216013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8c6ae01efb079d4a00bc183e03282aa8d94fc69e45567baccbd700ecc7acafc

Aliases

arxiv: 1611.06173 · arxiv_version: 1611.06173v2 · doi: 10.48550/arxiv.1611.06173 · pith_short_12: 5DDK4APPWB45 · pith_short_16: 5DDK4APPWB45JIAL · pith_short_8: 5DDK4APP

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/5DDK4APPWB45JIALYGB6AMUCVK \
  | 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: e8c6ae01efb079d4a00bc183e03282aa8d94fc69e45567baccbd700ecc7acafc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26fdf911e7bb375a17f17acb4fd019c8f537a46a65cee95e3633823f6d9c2c32",
    "cross_cats_sorted": [
      "math.DS",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-11-18T17:48:10Z",
    "title_canon_sha256": "a44755e29050554711ce7d9796a9ee51b6d351a33e989d5613c6b4537e0b4fda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06173",
    "kind": "arxiv",
    "version": 2
  }
}