Pith Number

pith:EKATFBGD

pith:2026:EKATFBGDF2RV543SHGHTC5ZS5N

not attested not anchored not stored refs pending

The Computable but Not Learnable Information-Value-Free Equilibria and Regulation of Algorithmic Collusion

Chang Wang, Chenhao Zhang, Jason D. Hartline

arxiv:2607.27128 v1 · 2026-07-29 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EKATFBGDF2RV543SHGHTC5ZS5N}

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	2026-07-30T01:23:39.749219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

22813284c32ea35ef372398f317732eb4b0b486480b0efdbca36c3d9a98ae220

Aliases

arxiv: 2607.27128 · arxiv_version: 2607.27128v1 · doi: 10.48550/arxiv.2607.27128 · pith_short_12: EKATFBGDF2RV · pith_short_16: EKATFBGDF2RV543S · pith_short_8: EKATFBGD

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/EKATFBGDF2RV543SHGHTC5ZS5N \
  | 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: 22813284c32ea35ef372398f317732eb4b0b486480b0efdbca36c3d9a98ae220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5d4c07a6f9a073878a8bcb05f2987ad101cd39e32d4674a65df84d6154e206c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-07-29T16:55:39Z",
    "title_canon_sha256": "b6f4678fbe84a161944bc8c4167e1f605d0ec8235b556447472f7a48fce4d14a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27128",
    "kind": "arxiv",
    "version": 1
  }
}