Pith Number

pith:2YWDHA23

pith:2026:2YWDHA23WS3ZL7PTWRRUBPFIVA

not attested not anchored not stored refs pending

The Economics of Model Collapse: Equilibrium, Welfare, and Optimal Provenance Subsidies in Synthetic Data Markets

Gustav Olaf Yunus Laitinen-Fredriksson Lundstr\"om-Imanov

arxiv:2605.20279 v1 · 2026-05-19 · econ.GN · cs.CY · cs.LG · 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{2YWDHA23WS3ZL7PTWRRUBPFIVA}

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	2026-05-21T00:04:23.803281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d62c33835bb4b795fdf3b46340bca8a80154d902cf2541f21305afd41da890d3

Aliases

arxiv: 2605.20279 · arxiv_version: 2605.20279v1 · doi: 10.48550/arxiv.2605.20279 · pith_short_12: 2YWDHA23WS3Z · pith_short_16: 2YWDHA23WS3ZL7PT · pith_short_8: 2YWDHA23

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/2YWDHA23WS3ZL7PTWRRUBPFIVA \
  | 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: d62c33835bb4b795fdf3b46340bca8a80154d902cf2541f21305afd41da890d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "649ac85634cca2c9b2ed26789f4d6f4e54b3952d9031b962d8f94fad842574a5",
    "cross_cats_sorted": [
      "cs.CY",
      "cs.LG",
      "q-fin.EC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.GN",
    "submitted_at": "2026-05-19T04:41:39Z",
    "title_canon_sha256": "285a63e088a0b823a3c0c1b4c0bf4c9789819fef0b37190d7c497f14035da23e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20279",
    "kind": "arxiv",
    "version": 1
  }
}