Pith Number

pith:BHOC4LF2

pith:2026:BHOC4LF24JIQLQBXXRPLVIDT2X

not attested not anchored not stored refs pending

Quantization Damage Is Multiplicative, Not Additive

Adriano Koshiyama, Swati Dhiman, Zekun Wu

arxiv:2608.06564 v1 · 2026-08-06 · cs.LG · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHOC4LF24JIQLQBXXRPLVIDT2X}

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	2026-08-10T01:11:17.397002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09dc2e2cbae25105c037bc5ebaa073d5e91e0f853bde382324a3448ca3501c07

Aliases

arxiv: 2608.06564 · arxiv_version: 2608.06564v1 · doi: 10.48550/arxiv.2608.06564 · pith_short_12: BHOC4LF24JIQ · pith_short_16: BHOC4LF24JIQLQBX · pith_short_8: BHOC4LF2

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/BHOC4LF24JIQLQBXXRPLVIDT2X \
  | 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: 09dc2e2cbae25105c037bc5ebaa073d5e91e0f853bde382324a3448ca3501c07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e3eea8fe2f255b1496c70a320f3664cb8743811fa9c843dd8905215881020b1",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-06T20:22:21Z",
    "title_canon_sha256": "e1e1ac87159f7aeb5aea23037e0f247132474ba71e8cc9a1a6441a64512de45a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06564",
    "kind": "arxiv",
    "version": 1
  }
}