Pith Number

pith:OPSEG5A4

pith:2019:OPSEG5A4UT7LZDAFBVOUP4BCN3

not attested not anchored not stored refs pending

Characterizing the invariances of learning algorithms using category theory

Kenneth D. Harris

arxiv:1905.02072 v1 · 2019-05-06 · cs.LG · math.CT · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPSEG5A4UT7LZDAFBVOUP4BCN3}

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	2026-05-17T23:46:56.498416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73e443741ca4febc8c050d5d47f0226ed0cd3c3e7f2cc782a900fb78927dc000

Aliases

arxiv: 1905.02072 · arxiv_version: 1905.02072v1 · doi: 10.48550/arxiv.1905.02072 · pith_short_12: OPSEG5A4UT7L · pith_short_16: OPSEG5A4UT7LZDAF · pith_short_8: OPSEG5A4

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/OPSEG5A4UT7LZDAFBVOUP4BCN3 \
  | 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: 73e443741ca4febc8c050d5d47f0226ed0cd3c3e7f2cc782a900fb78927dc000

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05f2c5d40dbf3c8497418df24af3652be33747b6e23a4643de21a17f41b98312",
    "cross_cats_sorted": [
      "math.CT",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-05-06T14:48:33Z",
    "title_canon_sha256": "ab6c822104fb005c4bc7f689a76e5a1a75d57d98ed3679e01f876a09380f9b98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02072",
    "kind": "arxiv",
    "version": 1
  }
}