Pith Number

pith:N2VSIKP7

pith:2026:N2VSIKP7O35HPNUIR7ZYACV2RZ

not attested not anchored not stored refs pending

The Shadow Price of Reasoning: Economic Perspective on Optimal Budget Allocation for LLMs

Guang Chen, Jianwei Cai, Mingyang Sun, Speed Zhu, Wiggin Zhou, XiMing Huang, Xu Wan

arxiv:2606.03092 v1 · 2026-06-02 · 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{N2VSIKP7O35HPNUIR7ZYACV2RZ}

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	2026-06-03T01:05:31.444170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6eab2429ff76fa77b6888ff3800aba8e680193a2375e7fb888d72f3ad62fa668

Aliases

arxiv: 2606.03092 · arxiv_version: 2606.03092v1 · doi: 10.48550/arxiv.2606.03092 · pith_short_12: N2VSIKP7O35H · pith_short_16: N2VSIKP7O35HPNUI · pith_short_8: N2VSIKP7

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/N2VSIKP7O35HPNUIR7ZYACV2RZ \
  | 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: 6eab2429ff76fa77b6888ff3800aba8e680193a2375e7fb888d72f3ad62fa668

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "232c14c32f10fb4ff359cf2c2ae93b50e87fef11b55d3e999aedd8af1d3dfe76",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-06-02T03:26:55Z",
    "title_canon_sha256": "9311fd1d8faa7a8bbb029da38c23060a6f66546b2d43ce95be25d621c7f4966d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03092",
    "kind": "arxiv",
    "version": 1
  }
}