Pith Number

pith:3IRB7PF7

pith:2026:3IRB7PF7AH5NILH43PQAJPSWOR

not attested not anchored not stored refs pending

Probabilistic "Copies" in Generative AI Models

A. Feder Cooper, Mark A. Lemley

arxiv:2607.14532 v1 · 2026-07-16 · cs.CY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3IRB7PF7AH5NILH43PQAJPSWOR}

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	2026-07-17T01:21:16.497579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da221fbcbf01fad42cfcdbe004be56747cbfc1bf42dcbcce5c2fd87bca6a5d7c

Aliases

arxiv: 2607.14532 · arxiv_version: 2607.14532v1 · doi: 10.48550/arxiv.2607.14532 · pith_short_12: 3IRB7PF7AH5N · pith_short_16: 3IRB7PF7AH5NILH4 · pith_short_8: 3IRB7PF7

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/3IRB7PF7AH5NILH43PQAJPSWOR \
  | 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: da221fbcbf01fad42cfcdbe004be56747cbfc1bf42dcbcce5c2fd87bca6a5d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e8fecb469fb2fd92064abd5837f5616f0ef7dbb8620b07e45bb4dc1c5f070cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CY",
    "submitted_at": "2026-07-16T03:39:09Z",
    "title_canon_sha256": "0dbcd839a705fe97363961504ac83f59ab5dcd00cb250aa5274e34bfe07379a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14532",
    "kind": "arxiv",
    "version": 1
  }
}