Pith Number

pith:PXZ7FCST

pith:2026:PXZ7FCSTYZRKLHFKIJP3EWZS6K

not attested not anchored not stored refs pending

Group Invariant Spectral Embedding

Amit Moscovich, David Thong, Joakim And\'en, Joe Kileel, Paulina Hoyos, Yeari Vigder

arxiv:2607.08987 v1 · 2026-07-09 · cs.LG · cs.NA · math.NA · 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{PXZ7FCSTYZRKLHFKIJP3EWZS6K}

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	2026-07-13T00:17:32.270716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7df3f28a53c662a59caa425fb25b32f281ff900f560ba670e0d82fede674d88d

Aliases

arxiv: 2607.08987 · arxiv_version: 2607.08987v1 · doi: 10.48550/arxiv.2607.08987 · pith_short_12: PXZ7FCSTYZRK · pith_short_16: PXZ7FCSTYZRKLHFK · pith_short_8: PXZ7FCST

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/PXZ7FCSTYZRKLHFKIJP3EWZS6K \
  | 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: 7df3f28a53c662a59caa425fb25b32f281ff900f560ba670e0d82fede674d88d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cd0961371643d14baf79b105dd5f9606e918f5c63a4d9ed1b67d2f90f0dc755",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-09T23:18:39Z",
    "title_canon_sha256": "57ff543e1751f27c757dd4f319ed461adf938f583f585d16357789119163c968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08987",
    "kind": "arxiv",
    "version": 1
  }
}