Pith Number

pith:UP3CPV47

pith:2025:UP3CPV47LYZGWX3ELEQZUCDDOK

not attested not anchored not stored refs pending

CoIn: Counting the Invisible Reasoning Tokens in Commercial Opaque LLM APIs

Ang Li, Bowei Tian, Guoheng Sun, Meng Liu, Shwai He, Wanghao Ye, Yexiao He, Yiting Wang, Zheyu Shen, Ziyao Wang

arxiv:2505.13778 v1 · 2025-05-19 · 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{UP3CPV47LYZGWX3ELEQZUCDDOK}

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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

Computational Challenges in Token Economics: Bridging Economic Theory and AI System Design

Receipt and verification

First computed	2026-07-05T11:05:50.882875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3f627d79f5e326b5f6459219a08637293ad665f8cb15aec8adb1d1d619b8ef7

Aliases

arxiv: 2505.13778 · arxiv_version: 2505.13778v1 · doi: 10.48550/arxiv.2505.13778 · pith_short_12: UP3CPV47LYZG · pith_short_16: UP3CPV47LYZGWX3E · pith_short_8: UP3CPV47

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/UP3CPV47LYZGWX3ELEQZUCDDOK \
  | 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: a3f627d79f5e326b5f6459219a08637293ad665f8cb15aec8adb1d1d619b8ef7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93c7b0e23f618b857e14f3a209980883e44fc9302c1072c11f326f34952374e6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2025-05-19T23:39:23Z",
    "title_canon_sha256": "e7da36c8464cf566388ce737b737fb9771cde4a5f960cb96b47405fb8b16e692"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.13778",
    "kind": "arxiv",
    "version": 1
  }
}