Pith Number

pith:VTR57UYC

pith:2026:VTR57UYCGX6XTWZZARVARBCEEJ

not attested not anchored not stored refs pending

Scaling Linear Mode Connectivity and Merging to Billion Parameter Pretrained Transformers

Tianyi Li, Zhiqiang Shen

arxiv:2606.23607 v1 · 2026-06-22 · 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{VTR57UYCGX6XTWZZARVARBCEEJ}

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	2026-06-23T03:14:32.106004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ace3dfd30235fd79db39046a088444227b0e93ffad9b1567a04a3dfd5955c069

Aliases

arxiv: 2606.23607 · arxiv_version: 2606.23607v1 · doi: 10.48550/arxiv.2606.23607 · pith_short_12: VTR57UYCGX6X · pith_short_16: VTR57UYCGX6XTWZZ · pith_short_8: VTR57UYC

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/VTR57UYCGX6XTWZZARVARBCEEJ \
  | 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: ace3dfd30235fd79db39046a088444227b0e93ffad9b1567a04a3dfd5955c069

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9532213d6fdacc964bc15e24191aa78ab981f779cc2ecae6be9cd727be34e346",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-22T17:08:28Z",
    "title_canon_sha256": "5579f10c18c84dd69d47a083f8c0dd0d6fc45a7922a2fda158a2205b82164770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23607",
    "kind": "arxiv",
    "version": 1
  }
}