Pith Number

pith:2XC5GDNO

pith:2025:2XC5GDNOA2RGDWIL2YUOBYGWFI

not attested not anchored not stored refs pending

Spooky Action at a Distance: Normalization Layers Enable Side-Channel Spatial Communication

George Ma, Samuel Pfrommer, Somayeh Sojoudi, Yixiao Huang

arxiv:2507.04709 v1 · 2025-07-07 · 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{2XC5GDNOA2RGDWIL2YUOBYGWFI}

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	2026-07-05T11:32:52.616729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5c5d30dae06a261d90bd628e0e0d62a26e83478f635cb299dcbe05350e77aac

Aliases

arxiv: 2507.04709 · arxiv_version: 2507.04709v1 · doi: 10.48550/arxiv.2507.04709 · pith_short_12: 2XC5GDNOA2RG · pith_short_16: 2XC5GDNOA2RGDWIL · pith_short_8: 2XC5GDNO

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/2XC5GDNOA2RGDWIL2YUOBYGWFI \
  | 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: d5c5d30dae06a261d90bd628e0e0d62a26e83478f635cb299dcbe05350e77aac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d511b0bf6ba102e6d7abf5f56aa58b206f0c68cfcb0757a4b678b29dd8d99a41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-07T07:00:02Z",
    "title_canon_sha256": "2d0a40b5f09e4ba0ad6215ded41e3335d341af984dbea299d66193b8475cfbcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04709",
    "kind": "arxiv",
    "version": 1
  }
}