Pith Number

pith:S5322INO

pith:2026:S5322INOWFHPQEHAZBIE6NF6Z2

not attested not anchored not stored refs pending

The Silent Freeze: Predicting When Low-Precision Training Stops Learning

Zekai Shang

arxiv:2607.09800 v1 · 2026-07-09 · 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{S5322INOWFHPQEHAZBIE6NF6Z2}

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	2026-07-14T00:18:36.522311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9777ad21aeb14ef810e0c8504f34bece82d48ec464f7bf3247c55b206f8f52e9

Aliases

arxiv: 2607.09800 · arxiv_version: 2607.09800v1 · doi: 10.48550/arxiv.2607.09800 · pith_short_12: S5322INOWFHP · pith_short_16: S5322INOWFHPQEHA · pith_short_8: S5322INO

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/S5322INOWFHPQEHAZBIE6NF6Z2 \
  | 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: 9777ad21aeb14ef810e0c8504f34bece82d48ec464f7bf3247c55b206f8f52e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1529bbf0283eebf3e51a5e31c76ce4003d9abb6f7e91e03b552f940a067388e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-09T15:23:42Z",
    "title_canon_sha256": "cd7fd903a95954ce197c9d996bbc05a20085b705f24122e51723c19d75358fc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09800",
    "kind": "arxiv",
    "version": 1
  }
}