Pith Number

pith:2D622J4S

pith:2026:2D622J4SX4EKVB6WMCOFGH2PJK

not attested not anchored not stored refs pending

Spectral Probe-Circuits: A Three-Step Recipe for Identifying Attention-Head Circuits in Pretrained Transformers

Yongzhong Xu

arxiv:2605.24059 v1 · 2026-05-22 · cs.LG · 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{2D622J4SX4EKVB6WMCOFGH2PJK}

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	2026-05-26T01:02:43.346969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0fdad2792bf08aa87d6609c531f4f4a9ff9f4f80f288135cd71b0b64ae3dcf6

Aliases

arxiv: 2605.24059 · arxiv_version: 2605.24059v1 · doi: 10.48550/arxiv.2605.24059 · pith_short_12: 2D622J4SX4EK · pith_short_16: 2D622J4SX4EKVB6W · pith_short_8: 2D622J4S

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/2D622J4SX4EKVB6WMCOFGH2PJK \
  | 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: d0fdad2792bf08aa87d6609c531f4f4a9ff9f4f80f288135cd71b0b64ae3dcf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28b36956c1cda6ef6ae53fb5ba779225c651edfc423c03583521332aaefc83c2",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-22T02:43:08Z",
    "title_canon_sha256": "567be1988f07fcb83f00e36be4b8a2e9906ce2964804df943ed2ba8e4e48a212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24059",
    "kind": "arxiv",
    "version": 1
  }
}