Pith Number

pith:3G6U7UKQ

pith:2026:3G6U7UKQ7JWB525NF6XB7REHT6

not attested not anchored not stored refs pending

Heteroskedastic Signals in Budgeted LLM Verification: Structural Heterogeneity Limits Optimization Gains

Jinlong Yang

arxiv:2606.15841 v2 · 2026-06-14 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3G6U7UKQ7JWB525NF6XB7REHT6}

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	2026-07-21T02:21:39.994973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9bd4fd150fa6c1eebad2fae1fc4879f9b64cd374c478ec1224c45db00649c0b

Aliases

arxiv: 2606.15841 · arxiv_version: 2606.15841v2 · doi: 10.48550/arxiv.2606.15841 · pith_short_12: 3G6U7UKQ7JWB · pith_short_16: 3G6U7UKQ7JWB525N · pith_short_8: 3G6U7UKQ

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/3G6U7UKQ7JWB525NF6XB7REHT6 \
  | 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: d9bd4fd150fa6c1eebad2fae1fc4879f9b64cd374c478ec1224c45db00649c0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2afb3d257f2cb20dac1ff2c5d1709789c1c4da83117672160eb5dfb7bb2834eb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-06-14T14:45:57Z",
    "title_canon_sha256": "7512f3f86cbc0c0e56c3070b140177b5033845961f784b1f601d076c0d8e51e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.15841",
    "kind": "arxiv",
    "version": 2
  }
}