Pith Number

pith:AT6LT7C7

pith:2026:AT6LT7C7NFCOGUL6KFMPQGTGNY

not attested not anchored not stored refs pending

Phase Transitions in Attention: A Bayesian Theory of Copy Head Emergence

Andrey Lekov, Frederic Van Maele, Itay Lavie, Kirsten Fischer, Moritz Helias, Zohar Ringel

arxiv:2606.12058 v1 · 2026-06-10 · stat.ML · cond-mat.dis-nn · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AT6LT7C7NFCOGUL6KFMPQGTGNY}

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	2026-06-11T01:10:45.531898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04fcb9fc5f6944e3517e5158f81a666e23118534079f4ac5f65caf1ea6545a03

Aliases

arxiv: 2606.12058 · arxiv_version: 2606.12058v1 · doi: 10.48550/arxiv.2606.12058 · pith_short_12: AT6LT7C7NFCO · pith_short_16: AT6LT7C7NFCOGUL6 · pith_short_8: AT6LT7C7

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/AT6LT7C7NFCOGUL6KFMPQGTGNY \
  | 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: 04fcb9fc5f6944e3517e5158f81a666e23118534079f4ac5f65caf1ea6545a03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2b25431a867da5965853bcd6dca80a63ebf710ffe486b18918713f11ce8cdfc",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-06-10T13:26:56Z",
    "title_canon_sha256": "2d6a53ef7d80a18a7b3c3e0331ea3e1e1f583eaddcfe875f4df9556faf938653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12058",
    "kind": "arxiv",
    "version": 1
  }
}