Pith Number

pith:BR3AVNOI

pith:2026:BR3AVNOIUWW4TNSJ3PZ2HSWRBN

not attested not anchored not stored refs pending

An Adjoint-Sensitivity Framework for Lost-in-the-Middle Phenomena in Causal Residual Transformers

Cheng Huan, Hongwei Yuan

arxiv:2607.17696 v1 · 2026-07-20 · stat.ML · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BR3AVNOIUWW4TNSJ3PZ2HSWRBN}

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	2026-07-21T02:21:55.119493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c760ab5c8a5adc9b649dbf3a3cad10b7e4eb8f6ccbbd50a0a2e54ca4e6d277f

Aliases

arxiv: 2607.17696 · arxiv_version: 2607.17696v1 · doi: 10.48550/arxiv.2607.17696 · pith_short_12: BR3AVNOIUWW4 · pith_short_16: BR3AVNOIUWW4TNSJ · pith_short_8: BR3AVNOI

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/BR3AVNOIUWW4TNSJ3PZ2HSWRBN \
  | 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: 0c760ab5c8a5adc9b649dbf3a3cad10b7e4eb8f6ccbbd50a0a2e54ca4e6d277f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e638869c5edb5c93fbed8d7804f99c34abd64319f0f7dc4ae53619c950bb28cb",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-07-20T08:44:31Z",
    "title_canon_sha256": "20d84718ae8c2d12836994621270f0a79ac2647f67cd57dbf6006aed200196b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17696",
    "kind": "arxiv",
    "version": 1
  }
}