Pith Number

pith:BISWXEWQ

pith:2015:BISWXEWQ64R5QJ46OLEEGAVG5X

not attested not anchored not stored refs pending

Universal halting times in optimization and machine learning

Levent Sagun, Thomas Trogdon, Yann LeCun

arxiv:1511.06444 v3 · 2015-11-19 · cs.LG · math.NA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BISWXEWQ64R5QJ46OLEEGAVG5X}

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	2026-05-17T23:58:31.434039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a256b92d0f723d8279e72c84302a6edd67f0bd2ad0ac792476599f63f4741b3

Aliases

arxiv: 1511.06444 · arxiv_version: 1511.06444v3 · doi: 10.48550/arxiv.1511.06444 · pith_short_12: BISWXEWQ64R5 · pith_short_16: BISWXEWQ64R5QJ46 · pith_short_8: BISWXEWQ

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/BISWXEWQ64R5QJ46OLEEGAVG5X \
  | 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: 0a256b92d0f723d8279e72c84302a6edd67f0bd2ad0ac792476599f63f4741b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90fb43cd17c8a8f9881373e55354a6af4e71c72ef25cafa74c46560473a6c937",
    "cross_cats_sorted": [
      "math.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2015-11-19T23:14:25Z",
    "title_canon_sha256": "207a5ea545005efa5f055fd22d800077ec2dc3cc8fa8f545a1104dae8d605762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06444",
    "kind": "arxiv",
    "version": 3
  }
}