Pith Number

pith:GDYOGAJO

pith:2026:GDYOGAJODGMEH4KWIUKSLZSYYQ

not attested not anchored not stored refs pending

Characterizing Optimizer-Dependent Training Dynamics Through Hessian Eigenvector Displacement and Localization

Marcelina Marjankowska, Paolo Barucca, Valerio Modugno

arxiv:2606.30226 v1 · 2026-06-29 · 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{GDYOGAJODGMEH4KWIUKSLZSYYQ}

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	2026-06-30T02:17:55.286805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30f0e3012e199843f156451525e658c40a5644550fb7523246bb4db82a2307ca

Aliases

arxiv: 2606.30226 · arxiv_version: 2606.30226v1 · doi: 10.48550/arxiv.2606.30226 · pith_short_12: GDYOGAJODGME · pith_short_16: GDYOGAJODGMEH4KW · pith_short_8: GDYOGAJO

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/GDYOGAJODGMEH4KWIUKSLZSYYQ \
  | 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: 30f0e3012e199843f156451525e658c40a5644550fb7523246bb4db82a2307ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36e5d16b90ccdda6279377048dfc3c303edb9d1707a68c3ecf9277f5b9ab6f27",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-29T12:39:39Z",
    "title_canon_sha256": "7132b86f45478b3c0640315f8212d24ba6c02606df02761cc68b9c3b30b38f9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30226",
    "kind": "arxiv",
    "version": 1
  }
}