Pith Number

pith:2KC4EOC4

pith:2026:2KC4EOC4BPOR57EORI346QB7SA

not attested not anchored not stored refs pending

Stochastic Estimation of the Layer-wise Hessian Trace for Monitoring Neural-network Training

Alexander Kugaevskikh (1) ((1) ITMO University, Maxim Bolshim (1), Russia), Saint Petersburg

arxiv:2605.25674 v1 · 2026-05-25 · 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{2KC4EOC4BPOR57EORI346QB7SA}

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	2026-05-26T02:04:49.519579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d285c2385c0bdd1efc8e8a37cf403f902d4209c017a1d7b4c5e708042f7fb301

Aliases

arxiv: 2605.25674 · arxiv_version: 2605.25674v1 · doi: 10.48550/arxiv.2605.25674 · pith_short_12: 2KC4EOC4BPOR · pith_short_16: 2KC4EOC4BPOR57EO · pith_short_8: 2KC4EOC4

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/2KC4EOC4BPOR57EORI346QB7SA \
  | 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: d285c2385c0bdd1efc8e8a37cf403f902d4209c017a1d7b4c5e708042f7fb301

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1d967d717e26b57a591fe139918eedcb77fc4ccc45232debbdc8a92abee5bf6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-25T10:24:32Z",
    "title_canon_sha256": "9f651aeb9a2fb7472bfda7092875dc217727ea67bc8b9eda3c9600109d14e07e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25674",
    "kind": "arxiv",
    "version": 1
  }
}