Pith Number

pith:7N4ELI7M

pith:2026:7N4ELI7MIFQKLOW3TD2VAZTLNO

not attested not anchored not stored refs pending

Epidemiology of Model Collapse: Modeling Synthetic Data Contamination via Bilayer SIR Dynamics

Xiangyu Wang

arxiv:2606.05168 v1 · 2026-04-14 · cs.CL · cs.AI · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7N4ELI7MIFQKLOW3TD2VAZTLNO}

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	2026-06-05T00:13:47.533587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb7845a3ec4160a5badb98f550666b6bb6c87eec61aedeb96326ad84bb79bc7a

Aliases

arxiv: 2606.05168 · arxiv_version: 2606.05168v1 · doi: 10.48550/arxiv.2606.05168 · pith_short_12: 7N4ELI7MIFQK · pith_short_16: 7N4ELI7MIFQKLOW3 · pith_short_8: 7N4ELI7M

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/7N4ELI7MIFQKLOW3TD2VAZTLNO \
  | 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: fb7845a3ec4160a5badb98f550666b6bb6c87eec61aedeb96326ad84bb79bc7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b2a3f87f0947cbd4a062b713b18e3c07aaecbbfb4ff237b798e7d2bc2528712",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-04-14T06:49:30Z",
    "title_canon_sha256": "73fafd4d862c00872e8560b275377d0ba5a926834e9d79a1a74802e7b8cbf628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05168",
    "kind": "arxiv",
    "version": 1
  }
}