Pith Number

pith:ZLIQ3KNH

pith:2025:ZLIQ3KNHKSVTEPTHHEG757ODZ5

not attested not anchored not stored refs pending

Equilibrium Transition from Loss-Leader Competition: How Advertising Restrictions Facilitate Price Coordination in Chilean Pharmaceutical Retail

Yu (Jasmine) Hao

arxiv:2512.22917 v2 · 2025-12-28 · econ.GN · q-fin.EC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLIQ3KNHKSVTEPTHHEG757ODZ5}

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	2026-06-30T00:15:08.829106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad10da9a754ab323e67390dfefdc3cf6420e6353200acd8cfca3ac5e3b47399

Aliases

arxiv: 2512.22917 · arxiv_version: 2512.22917v2 · doi: 10.48550/arxiv.2512.22917 · pith_short_12: ZLIQ3KNHKSVT · pith_short_16: ZLIQ3KNHKSVTEPTH · pith_short_8: ZLIQ3KNH

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/ZLIQ3KNHKSVTEPTHHEG757ODZ5 \
  | 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: cad10da9a754ab323e67390dfefdc3cf6420e6353200acd8cfca3ac5e3b47399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f0e292e3243135721582ea8aa1263435773895dea56ca89cb605c5646cbc4cd",
    "cross_cats_sorted": [
      "q-fin.EC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.GN",
    "submitted_at": "2025-12-28T13:12:31Z",
    "title_canon_sha256": "3e6183d8aa8b38f1807f2980e915219486d065727f2d8d3e335ab4913a5c162b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.22917",
    "kind": "arxiv",
    "version": 2
  }
}