Pith Number

pith:RFKC2RG4

pith:2024:RFKC2RG4HRT6UFXZ2WHPSDBAOU

not attested not anchored not stored refs pending

Learning High-Degree Parities: The Crucial Role of the Initialization

Donald Kougang-Yombi, Elisabetta Cornacchia, Emmanuel Abbe, Jan H\k{a}z{\l}a

arxiv:2412.04910 v3 · 2024-12-06 · 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{RFKC2RG4HRT6UFXZ2WHPSDBAOU}

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.

Cited by

1 paper in Pith

Lower Bounds for Chain-of-Thought Reasoning in Hard-Attention Transformers

Receipt and verification

First computed	2026-07-05T10:24:28.543486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89542d44dc3c67ea16f9d58ef90c20753c9042f2191a262a41831240be22442f

Aliases

arxiv: 2412.04910 · arxiv_version: 2412.04910v3 · doi: 10.48550/arxiv.2412.04910 · pith_short_12: RFKC2RG4HRT6 · pith_short_16: RFKC2RG4HRT6UFXZ · pith_short_8: RFKC2RG4

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/RFKC2RG4HRT6UFXZ2WHPSDBAOU \
  | 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: 89542d44dc3c67ea16f9d58ef90c20753c9042f2191a262a41831240be22442f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a41cdc2f2ef7c3e1739bbcac17c1f8902a204bd87575141f8a0532bf87962082",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-12-06T10:05:10Z",
    "title_canon_sha256": "32eacb4a17b3c5ea93b42cb976a8f35e622ccbacd0ba5e5b316a306c03c00fe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.04910",
    "kind": "arxiv",
    "version": 3
  }
}