Pith Number

pith:U5L5MXE5

pith:2026:U5L5MXE5YE2J22JSMJSGIVOUJJ

not attested not anchored not stored refs pending

Observable- and Positional-Encoding-Dependent Symmetry Readout from Neural Network Weights

Naoya Chiba, Satoshi Sugiyama, Yuki Uranishi

arxiv:2607.03108 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{U5L5MXE5YE2J22JSMJSGIVOUJJ}

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	2026-07-07T01:16:43.235392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a757d65c9dc1349d693262646455d44a6b16b16782489601752e401bd8f077b1

Aliases

arxiv: 2607.03108 · arxiv_version: 2607.03108v1 · doi: 10.48550/arxiv.2607.03108 · pith_short_12: U5L5MXE5YE2J · pith_short_16: U5L5MXE5YE2J22JS · pith_short_8: U5L5MXE5

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/U5L5MXE5YE2J22JSMJSGIVOUJJ \
  | 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: a757d65c9dc1349d693262646455d44a6b16b16782489601752e401bd8f077b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf30995ec0af74e38ff06484fc0cfa1a6d2171cbbaac5f0914f0f10ea67cb207",
    "cross_cats_sorted": [
      "cs.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-03T08:43:47Z",
    "title_canon_sha256": "404e899a0dfb81e643acd0192e0735fa619630b8503ae91ac597597e4808c3cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03108",
    "kind": "arxiv",
    "version": 1
  }
}