Pith Number

pith:BHE5APMK

pith:2026:BHE5APMKC7W52H7UQWNCJYO2W3

not attested not anchored not stored refs pending

Training-Inference Kernel Contracts: Bounding Divergence in Post-Training and Deployment

Bruce Changlong Xu, Lan Wu

arxiv:2606.07581 v1 · 2026-05-26 · cs.LG · cs.AI · cs.ET

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHE5APMKC7W52H7UQWNCJYO2W3}

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	2026-06-09T00:04:43.664500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09c9d03d8a17eddd1ff4859a24e1dab6c07d0192734fbe728b25afbbd19d422a

Aliases

arxiv: 2606.07581 · arxiv_version: 2606.07581v1 · doi: 10.48550/arxiv.2606.07581 · pith_short_12: BHE5APMKC7W5 · pith_short_16: BHE5APMKC7W52H7U · pith_short_8: BHE5APMK

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/BHE5APMKC7W52H7UQWNCJYO2W3 \
  | 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: 09c9d03d8a17eddd1ff4859a24e1dab6c07d0192734fbe728b25afbbd19d422a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6bfc82e9eb74c7c2d67ed50f3c36bb54526b8acd966b72447550d042cb032b6",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.ET"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-26T21:48:33Z",
    "title_canon_sha256": "2c2591275326161d93b4b63cf9fccf627180b1c47e8aab143e91f2bf2e96f2f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07581",
    "kind": "arxiv",
    "version": 1
  }
}