Pith Number

pith:OTH3M4W3

pith:2026:OTH3M4W3ZD6RZT6WIQJ5RWV2RM

not attested not anchored not stored refs pending

When Geometry Aligns: Dihedral Hidden-State Transformations in UNet, ViT, and DiT Architectures

Alex Lamb, Irina Rish, Mojtaba Faramarzi

arxiv:2607.03580 v1 · 2026-07-03 · cs.LG · cs.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTH3M4W3ZD6RZT6WIQJ5RWV2RM}

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	2026-07-07T02:17:55.753199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74cfb672dbc8fd1ccfd64413d8daba8b3f47c0cb847763d79a6a6b66cc597f91

Aliases

arxiv: 2607.03580 · arxiv_version: 2607.03580v1 · doi: 10.48550/arxiv.2607.03580 · pith_short_12: OTH3M4W3ZD6R · pith_short_16: OTH3M4W3ZD6RZT6W · pith_short_8: OTH3M4W3

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/OTH3M4W3ZD6RZT6WIQJ5RWV2RM \
  | 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: 74cfb672dbc8fd1ccfd64413d8daba8b3f47c0cb847763d79a6a6b66cc597f91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50a55436196d0926a709506cf1197567f580e8552f0749aefd9c697ae2a5a3cb",
    "cross_cats_sorted": [
      "cs.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-03T19:47:07Z",
    "title_canon_sha256": "ad3cb2d69517e698c9828915faa4c2eb23465bc89ad978554924de7a988a71f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03580",
    "kind": "arxiv",
    "version": 1
  }
}