Pith Number

pith:OA4P2EIV

pith:2026:OA4P2EIVL4SIEVLNEW4YUF6ONM

not attested not anchored not stored refs pending

Explaining Near-Zero Hessian Eigenvalues Through Approximate Symmetries in Neural Networks

Bernd Rosenow, Marcel K\"uhn

arxiv:2607.07845 v1 · 2026-07-08 · cs.LG · cond-mat.dis-nn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OA4P2EIVL4SIEVLNEW4YUF6ONM}

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	2026-07-10T00:19:02.911440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7038fd11155f2482556d25b98a17ce6b0c070bed781fe933936ed91ec465cd8b

Aliases

arxiv: 2607.07845 · arxiv_version: 2607.07845v1 · doi: 10.48550/arxiv.2607.07845 · pith_short_12: OA4P2EIVL4SI · pith_short_16: OA4P2EIVL4SIEVLN · pith_short_8: OA4P2EIV

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/OA4P2EIVL4SIEVLNEW4YUF6ONM \
  | 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: 7038fd11155f2482556d25b98a17ce6b0c070bed781fe933936ed91ec465cd8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e45a009772ac809eb9010038d682bc1065fb933c3d50944bc7710917dbf0af1",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-08T18:27:16Z",
    "title_canon_sha256": "774f099030836abab4f08ef4fd61f3a9b0b95455f1825f936efe23e2e9abb208"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07845",
    "kind": "arxiv",
    "version": 1
  }
}