Pith Number

pith:PQ5MYA73

pith:2026:PQ5MYA73WJQYR2RC6TBD4TOADQ

not attested not anchored not stored refs pending

Training LLMs to Enforce Multi-Level Instruction Hierarchies via Gravity-Weighted Direct Preference Optimization

Lena A. J\"ager, Lena S. Bolliger

arxiv:2606.10860 v1 · 2026-06-09 · cs.CR · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQ5MYA73WJQYR2RC6TBD4TOADQ}

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	2026-06-10T01:10:44.332695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c3acc03fbb26188ea22f4c23e4dc01c268b9119a79c1f6303d85d7a2c18f130

Aliases

arxiv: 2606.10860 · arxiv_version: 2606.10860v1 · doi: 10.48550/arxiv.2606.10860 · pith_short_12: PQ5MYA73WJQY · pith_short_16: PQ5MYA73WJQYR2RC · pith_short_8: PQ5MYA73

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/PQ5MYA73WJQYR2RC6TBD4TOADQ \
  | 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: 7c3acc03fbb26188ea22f4c23e4dc01c268b9119a79c1f6303d85d7a2c18f130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4d9d1fae6a8fccd442a5f730defa01393e104c645e2e757cc1888a5dc61a250",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2026-06-09T13:39:17Z",
    "title_canon_sha256": "bdc3f87b4120a213164c92b2a4e50d3317c3e1dfc169a2c045fd980f61ffe3a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10860",
    "kind": "arxiv",
    "version": 1
  }
}