Pith Number

pith:D5W7QL3K

pith:2024:D5W7QL3KTTKOOQF4RXSHPOXVBS

not attested not anchored not stored refs pending

Reducing Reasoning Costs: The Path of Optimization for Chain of Thought via Sparse Attention Mechanism

Libo Wang

arxiv:2411.09111 v8 · 2024-11-14 · 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{D5W7QL3KTTKOOQF4RXSHPOXVBS}

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	2026-07-05T11:34:30.353982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f6df82f6a9cd4e740bc8de477baf50cae2c32d3db8ebe127587112be798679e

Aliases

arxiv: 2411.09111 · arxiv_version: 2411.09111v8 · doi: 10.48550/arxiv.2411.09111 · pith_short_12: D5W7QL3KTTKO · pith_short_16: D5W7QL3KTTKOOQF4 · pith_short_8: D5W7QL3K

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/D5W7QL3KTTKOOQF4RXSHPOXVBS \
  | 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: 1f6df82f6a9cd4e740bc8de477baf50cae2c32d3db8ebe127587112be798679e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aab29a5c5083ddc3925ed074afff1acdbfc572dd320c3375685c14980f2c21a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-11-14T00:59:13Z",
    "title_canon_sha256": "2e9dae80033d0005d1ce31c3561fe11b5a1093742d30c133bf450abc650df203"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.09111",
    "kind": "arxiv",
    "version": 8
  }
}