Pith Number

pith:7WAP2BCD

pith:2026:7WAP2BCD5DWZUHYWZL33DV5NYT

not attested not anchored not stored refs pending

Tracing LLM Behavior to the Training Data with Empirical Next-Token Distributions

Zachary Izzo

arxiv:2607.14306 v1 · 2026-07-15 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WAP2BCD5DWZUHYWZL33DV5NYT}

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	2026-07-17T00:21:04.438946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd80fd0443e8ed9a1f16caf7b1d7adc4f58228907e944fd4dc5769fc2f0065de

Aliases

arxiv: 2607.14306 · arxiv_version: 2607.14306v1 · doi: 10.48550/arxiv.2607.14306 · pith_short_12: 7WAP2BCD5DWZ · pith_short_16: 7WAP2BCD5DWZUHYW · pith_short_8: 7WAP2BCD

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/7WAP2BCD5DWZUHYWZL33DV5NYT \
  | 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: fd80fd0443e8ed9a1f16caf7b1d7adc4f58228907e944fd4dc5769fc2f0065de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dcc39dea006737960ce37a18ff3da283e6620580d3535837861f0195a9d437e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-07-15T19:11:54Z",
    "title_canon_sha256": "5a69019ab796b096b9779b3cccd7b9a299c7ade8bc43dc79e77ed40effc7044a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14306",
    "kind": "arxiv",
    "version": 1
  }
}