Pith Number

pith:OPK6D324

pith:2021:OPK6D324OTXK7OGKHSIEO4TJ5W

not attested not anchored not stored refs pending

The Role of Permutation Invariance in Linear Mode Connectivity of Neural Networks

Behnam Neyshabur, Hanie Sedghi, Olga Saukh, Rahim Entezari

arxiv:2110.06296 v2 · 2021-10-12 · cs.LG

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\usepackage{pith}
\pithnumber{OPK6D324OTXK7OGKHSIEO4TJ5W}

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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.

Cited by

13 papers in Pith

Cross-Trajectory Chimera Interventions Reveal Dissociable Roles of Weight Magnitude and Direction in Grokking

Understanding Layer Patching in Model Size Interpolation

Scaling Linear Mode Connectivity and Merging to Billion Parameter Pretrained Transformers

Toward Open Weight Models Without Risks: Separating Public and Private Capabilities in LLMs

Robusto-2: Benchmarking Humans & VLMs for Autonomous Driving in Lima & New York City

Receipt and verification

First computed	2026-07-05T04:37:19.255287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73d5e1ef5c74eeafb8ca3c90477269ed9f6f3d542b5301437d1458368fd8ff6d

Aliases

arxiv: 2110.06296 · arxiv_version: 2110.06296v2 · doi: 10.48550/arxiv.2110.06296 · pith_short_12: OPK6D324OTXK · pith_short_16: OPK6D324OTXK7OGK · pith_short_8: OPK6D324

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/OPK6D324OTXK7OGKHSIEO4TJ5W \
  | 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: 73d5e1ef5c74eeafb8ca3c90477269ed9f6f3d542b5301437d1458368fd8ff6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec7920378df3389431ea8c1a4f1dd9e4caa91edde53a5cbf4fbaa1dc5a0d2b3b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-10-12T19:28:48Z",
    "title_canon_sha256": "fd27a8e9b06d88b07df5a16f2dcd44c2087baa249a6d64f2be939e5fbe5a0b3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.06296",
    "kind": "arxiv",
    "version": 2
  }
}