Pith Number

pith:AGQEQQ2V

pith:2026:AGQEQQ2VW4YVYB5BFYR7MX7MDS

not attested not anchored not stored refs pending

Gradient Flow Through Diagram Expansions: Learning Regimes and Explicit Solutions

Dmitry Yarotsky, Eugene Golikov, Yaroslav Gusev

arxiv:2602.04548 v2 · 2026-02-04 · cs.LG · 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{AGQEQQ2VW4YVYB5BFYR7MX7MDS}

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	2026-06-23T03:13:53.961670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01a0484355b7315c07a12e23f65fec1c92e303733238922ba20649bd481646b2

Aliases

arxiv: 2602.04548 · arxiv_version: 2602.04548v2 · doi: 10.48550/arxiv.2602.04548 · pith_short_12: AGQEQQ2VW4YV · pith_short_16: AGQEQQ2VW4YVYB5B · pith_short_8: AGQEQQ2V

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/AGQEQQ2VW4YVYB5BFYR7MX7MDS \
  | 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: 01a0484355b7315c07a12e23f65fec1c92e303733238922ba20649bd481646b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b128f9182ae37eb32d5c43ddd9255d8ddfaedb7fd1726c4e20b42ede53bb56b",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-02-04T13:38:57Z",
    "title_canon_sha256": "0df326fc22736ffc85d441806f2803b8c6d7e39d016740b717563c58e26b20a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.04548",
    "kind": "arxiv",
    "version": 2
  }
}