Pith Number

pith:C5S5WA7H

pith:2026:C5S5WA7HJWAZ5E7DEP6QC5J2CF

not attested not anchored not stored refs pending

On the Oracle Complexity of Interpolation-Based Gradient Descent

Anuran Makur, Dongmin Lee, William Lu

arxiv:2606.19878 v1 · 2026-06-18 · cs.LG · math.OC · 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{C5S5WA7HJWAZ5E7DEP6QC5J2CF}

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	2026-06-19T16:12:37.614737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1765db03e74d819e93e323fd01753a115c5306ccefb6e03d8a27b3bb3d740584

Aliases

arxiv: 2606.19878 · arxiv_version: 2606.19878v1 · doi: 10.48550/arxiv.2606.19878 · pith_short_12: C5S5WA7HJWAZ · pith_short_16: C5S5WA7HJWAZ5E7D · pith_short_8: C5S5WA7H

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/C5S5WA7HJWAZ5E7DEP6QC5J2CF \
  | 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: 1765db03e74d819e93e323fd01753a115c5306ccefb6e03d8a27b3bb3d740584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aaa3abbdd2993dd292192041de9861135484a56f1895fd8cea302fe38a8cc02",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-18T07:35:38Z",
    "title_canon_sha256": "ccc06b9f62f0dfc7276e93b2b5d89a0ffc165bc2432f0322330ecceebd49f823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19878",
    "kind": "arxiv",
    "version": 1
  }
}