Pith Number

pith:XHQI52IP

pith:2026:XHQI52IP65PAO4MUYCCHDPZXTB

not attested not anchored not stored refs pending

A Mechanistic Diagnostic of Rank Collapse in Post-Norm Decoder Transformers

Qingyu Han, Xiaodong Luo, Xingjian Wang, Yin Zhang

arxiv:2608.09417 v1 · 2026-08-10 · 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{XHQI52IP65PAO4MUYCCHDPZXTB}

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	2026-08-11T02:22:33.845902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9e08ee90ff75e077194c08471bf37986ec9cfb163554f01686b8fe311ccff13

Aliases

arxiv: 2608.09417 · arxiv_version: 2608.09417v1 · doi: 10.48550/arxiv.2608.09417 · pith_short_12: XHQI52IP65PA · pith_short_16: XHQI52IP65PAO4MU · pith_short_8: XHQI52IP

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/XHQI52IP65PAO4MUYCCHDPZXTB \
  | 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: b9e08ee90ff75e077194c08471bf37986ec9cfb163554f01686b8fe311ccff13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d36e6064d9e308f95e07b103c8920485516aed31207285327920bb8c42ee668",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-10T10:45:16Z",
    "title_canon_sha256": "e800c0490cc4469f854aaa63f86d6f8692ea9f4683d7a87b9c0c231878baf88b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09417",
    "kind": "arxiv",
    "version": 1
  }
}