Pith Number

pith:R7GKDYAY

pith:2025:R7GKDYAYOH4PIFVRZ6KBTQRKSC

not attested not anchored not stored refs pending

Glocal Smoothness: Line search and adaptive step sizes can help in theory too!

Aaron Mishkin, Curtis Fox, Mark Schmidt, Sharan Vaswani

arxiv:2506.12648 v2 · 2025-06-14 · math.OC · 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{R7GKDYAYOH4PIFVRZ6KBTQRKSC}

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	2026-05-20T00:02:05.307746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fcca1e01871f8f416b1cf9419c22a9099d285d345a8badd1d0e8191426e80b5

Aliases

arxiv: 2506.12648 · arxiv_version: 2506.12648v2 · doi: 10.48550/arxiv.2506.12648 · pith_short_12: R7GKDYAYOH4P · pith_short_16: R7GKDYAYOH4PIFVR · pith_short_8: R7GKDYAY

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/R7GKDYAYOH4PIFVRZ6KBTQRKSC \
  | 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: 8fcca1e01871f8f416b1cf9419c22a9099d285d345a8badd1d0e8191426e80b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41cfc663f196499b66ccdef4c96710e14ea36a4afa665e08532351f0860b455f",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-14T22:18:53Z",
    "title_canon_sha256": "152956af4230731f9e6e043b113a97086d7658f29d3f10f69fb41c1f3a240d94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.12648",
    "kind": "arxiv",
    "version": 2
  }
}