Pith Number

pith:ZSRSMQEW

pith:2026:ZSRSMQEWTCTJTLFAZPUBOHWE2W

not attested not anchored not stored refs pending

Collusion with Competitive Marginals: Price-Level Audits Are Blind by Construction

Chengrui Wu, Hanzhe Hong, Jiayu Lu, Kaizhen Tan, Siru Tao, Xin Xu

arxiv:2607.26385 v1 · 2026-07-29 · cs.GT · cs.AI · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSRSMQEWTCTJTLFAZPUBOHWE2W}

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	2026-07-30T01:18:16.178959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

cca326409698a699aca0cbe8171ec4d5a0fbda2ee03019d8f402caf5d04481b1

Aliases

arxiv: 2607.26385 · arxiv_version: 2607.26385v1 · doi: 10.48550/arxiv.2607.26385 · pith_short_12: ZSRSMQEWTCTJ · pith_short_16: ZSRSMQEWTCTJTLFA · pith_short_8: ZSRSMQEW

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/ZSRSMQEWTCTJTLFAZPUBOHWE2W \
  | 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: cca326409698a699aca0cbe8171ec4d5a0fbda2ee03019d8f402caf5d04481b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73092c368f0d7802faf49fffe7539211dcd1b5e78dbeb91ef9c4518b0616a619",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-07-29T01:39:13Z",
    "title_canon_sha256": "ab8e3ac9fbf56375cd4f8d98b3a8466dcc95a7e48077d5c30942e264410bbca9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26385",
    "kind": "arxiv",
    "version": 1
  }
}