Pith Number

pith:HTCHN7B6

pith:2026:HTCHN7B66WYEROBASDW4WBSDHY

not attested not anchored not stored refs pending

Anti Mode-Collapse in Mean-Field Transformer via Auxiliary Variables

Kohei Hayashi, Masaaki Imaizumi, Masanori Koyama, Noboru Isobe

arxiv:2605.30229 v1 · 2026-05-28 · 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{HTCHN7B66WYEROBASDW4WBSDHY}

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	2026-05-29T02:06:13.424579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cc476fc3ef5b048b82090edcb06433e22e20b69034a78dbf6331d350414ae6c

Aliases

arxiv: 2605.30229 · arxiv_version: 2605.30229v1 · doi: 10.48550/arxiv.2605.30229 · pith_short_12: HTCHN7B66WYE · pith_short_16: HTCHN7B66WYEROBA · pith_short_8: HTCHN7B6

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/HTCHN7B66WYEROBASDW4WBSDHY \
  | 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: 3cc476fc3ef5b048b82090edcb06433e22e20b69034a78dbf6331d350414ae6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd3c232a73ccf22bc2f9073d7068fc80954c8dbcea2e360035cc08bcba2c41a5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-28T16:59:42Z",
    "title_canon_sha256": "e63988d93bcfdf3c118dfc03b714aae99ad0632418d3071f9ac2b79f705f5b1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30229",
    "kind": "arxiv",
    "version": 1
  }
}