Pith Number

pith:LO5INULR

pith:2026:LO5INULRS4IMVSXYJIKACM5Z3I

not attested not anchored not stored refs pending

Beyond ICA: Identifiability by Symmetry Breaking

Pengzhou Wu

arxiv:2607.23182 v1 · 2026-07-25 · stat.ML · cs.LG · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LO5INULRS4IMVSXYJIKACM5Z3I}

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	2026-07-28T01:22:10.935797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bba86d1719710cacaf84a140133b9da0b7228586db1e281e6ddfe2368d6af99

Aliases

arxiv: 2607.23182 · arxiv_version: 2607.23182v1 · doi: 10.48550/arxiv.2607.23182 · pith_short_12: LO5INULRS4IM · pith_short_16: LO5INULRS4IMVSXY · pith_short_8: LO5INULR

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/LO5INULRS4IMVSXYJIKACM5Z3I \
  | 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: 5bba86d1719710cacaf84a140133b9da0b7228586db1e281e6ddfe2368d6af99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21f363fbdc08f6cf10a843386c88f2e757fa7f4e044a6b239e09324a7a3b5b62",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-07-25T12:27:10Z",
    "title_canon_sha256": "a11b8aea1434ca5c2354838e5d3f9a406a8140aad9d6cb983600b99eb7b40b24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23182",
    "kind": "arxiv",
    "version": 1
  }
}