Pith Number

pith:SS5RO4ML

pith:2026:SS5RO4MLFAQWS45AE4RLU3WNHR

not attested not anchored not stored refs pending

Does the motor cortex draw on a wire plane?

Patrick Iglesias-Zemmour

Equipping the plane with the wire diffeology turns the equi-affine metric into a covariant 3-tensor under the full diffeomorphism group.

arxiv:2603.03337 v2 · 2026-02-12 · q-bio.NC

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\usepackage{pith}
\pithnumber{SS5RO4MLFAQWS45AE4RLU3WNHR}

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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

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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.

Claims

C1strongest claim

In this diffeological space, the equi-affine metric becomes a true covariant 3-tensor under the full diffeomorphism group -- no restriction of symmetries, no additional structure required.

C2weakest assumption

That the motor cortex traces curves, not two-dimensional patches, so that curves can be taken as the primitive objects generating the smooth structure.

C3one line summary

Equipping the plane with wire diffeology makes the equi-affine metric fully covariant, rendering the two-thirds power law a diffeomorphism-invariant of curve-based motor primitives.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T02:44:30.912187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94bb17718b28216973a02722ba6ecd3c7c177fb14e0953dcb043fe8a701098fe

Aliases

arxiv: 2603.03337 · arxiv_version: 2603.03337v2 · doi: 10.48550/arxiv.2603.03337 · pith_short_12: SS5RO4MLFAQW · pith_short_16: SS5RO4MLFAQWS45A · pith_short_8: SS5RO4ML

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/SS5RO4MLFAQWS45AE4RLU3WNHR \
  | 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: 94bb17718b28216973a02722ba6ecd3c7c177fb14e0953dcb043fe8a701098fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "324fa1668374d1c9a18e6e0a80eeecbd8f593465568d50c409d9bb6c4003118a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2026-02-12T22:01:31Z",
    "title_canon_sha256": "2601f5ca55936e23e4b118cd323480fa416bb5515bdb0f0af66e25505ce08a7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.03337",
    "kind": "arxiv",
    "version": 2
  }
}