Pith Number

pith:5WMFE4JD

pith:2025:5WMFE4JDSNJEGWYG4VVKMMQSSZ

not attested not anchored not stored refs pending

Gradient Descent as Implicit EM in Distance-Based Neural Models

Alan Oursland

arxiv:2512.24780 v2 · 2025-12-31 · 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{5WMFE4JDSNJEGWYG4VVKMMQSSZ}

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	2026-07-07T02:18:32.412299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed985271239352435b06e56aa63212967e48c5b8939ae321d17e3e249269d143

Aliases

arxiv: 2512.24780 · arxiv_version: 2512.24780v2 · doi: 10.48550/arxiv.2512.24780 · pith_short_12: 5WMFE4JDSNJE · pith_short_16: 5WMFE4JDSNJEGWYG · pith_short_8: 5WMFE4JD

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/5WMFE4JDSNJEGWYG4VVKMMQSSZ \
  | 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: ed985271239352435b06e56aa63212967e48c5b8939ae321d17e3e249269d143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "797097fe89c68052ead94391e47c258defc6f081a04cb411775a0f91505c4123",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-12-31T10:56:43Z",
    "title_canon_sha256": "bdf1ef1cfddbae21925419a2cb028484d4c9f7435415ef4c432c9675207d7368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.24780",
    "kind": "arxiv",
    "version": 2
  }
}