Pith Number

pith:D5YDHQYO

pith:2026:D5YDHQYOXGZ3HPVP6JNCLJCZI4

not attested not anchored not stored refs pending

Flatland: The Adventures of Gradient Descent with Large Step Sizes

Curtis Fox, Holger Rauhut, Leonardo Galli, Mark Schmidt, Wiebke Bartolomaeus

arxiv:2606.06722 v1 · 2026-06-04 · 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{D5YDHQYOXGZ3HPVP6JNCLJCZI4}

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	2026-06-08T01:04:24.616287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f7033c30eb9b3b3beaff25a25a45947002fdc515cc5ad66f18c02f9dbbcd88f

Aliases

arxiv: 2606.06722 · arxiv_version: 2606.06722v1 · doi: 10.48550/arxiv.2606.06722 · pith_short_12: D5YDHQYOXGZ3 · pith_short_16: D5YDHQYOXGZ3HPVP · pith_short_8: D5YDHQYO

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/D5YDHQYOXGZ3HPVP6JNCLJCZI4 \
  | 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: 1f7033c30eb9b3b3beaff25a25a45947002fdc515cc5ad66f18c02f9dbbcd88f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89c04e0746d44c5846e69001e226ca800f86e7b37405b2995efad0f613afc9d3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-04T21:14:07Z",
    "title_canon_sha256": "ca452dc856988e66a1dba73993c4d2fb6cb204fcb4e3c87ea8ebf105da0f4241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06722",
    "kind": "arxiv",
    "version": 1
  }
}