Pith Number

pith:G5GTSN6U

pith:2026:G5GTSN6UNI7BABQMFZ7YTOGUPV

not attested not anchored not stored refs pending

Sharp Stability Threshold and Certification for Designing Stable Residual Architectures

Hyemin Gu, Markos A. Katsoulakis, Michael Tyrrell, Tuhin Sahai

arxiv:2607.14576 v1 · 2026-07-16 · 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{G5GTSN6UNI7BABQMFZ7YTOGUPV}

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	2026-07-17T01:21:19.072299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

374d3937d46a3e10060c2e7f89b8d47d552f1369225ee811b53f7a6627e972d6

Aliases

arxiv: 2607.14576 · arxiv_version: 2607.14576v1 · doi: 10.48550/arxiv.2607.14576 · pith_short_12: G5GTSN6UNI7B · pith_short_16: G5GTSN6UNI7BABQM · pith_short_8: G5GTSN6U

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/G5GTSN6UNI7BABQMFZ7YTOGUPV \
  | 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: 374d3937d46a3e10060c2e7f89b8d47d552f1369225ee811b53f7a6627e972d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "411243a059f745e7bd16bbf6104571e450a256c6e9be916bb662a755c5c63618",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-16T05:13:44Z",
    "title_canon_sha256": "e92fb550d793fd750248dbb65d9878312aa5e65e9f46036429bc1d14357d5851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14576",
    "kind": "arxiv",
    "version": 1
  }
}