Pith Number

pith:J7UI7CBO

pith:2025:J7UI7CBOXN75PQ2Q7VQ5P4XODG

not attested not anchored not stored refs pending

Clifford Circuits Augmented Grassmann Matrix Product States

Atis Yosprakob, Donghoon Kim, Kouichi Okunishi, Tsuyoshi Okubo, Wei-Lin Tu

arxiv:2510.04164 v3 · 2025-10-05 · quant-ph · cond-mat.stat-mech · cond-mat.str-el · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7UI7CBOXN75PQ2Q7VQ5P4XODG}

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	2026-06-09T01:04:39.429704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fe88f882ebb7fd7c350fd61d7f2ee19bcf84918d5ed22fe51a75363eed61db6

Aliases

arxiv: 2510.04164 · arxiv_version: 2510.04164v3 · doi: 10.48550/arxiv.2510.04164 · pith_short_12: J7UI7CBOXN75 · pith_short_16: J7UI7CBOXN75PQ2Q · pith_short_8: J7UI7CBO

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/J7UI7CBOXN75PQ2Q7VQ5P4XODG \
  | 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: 4fe88f882ebb7fd7c350fd61d7f2ee19bcf84918d5ed22fe51a75363eed61db6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18b709f87941e6f944323cde677aad7cf5854f501380fa68932632fd0c962add",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cond-mat.str-el",
      "hep-lat"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-10-05T11:42:28Z",
    "title_canon_sha256": "a6df779cb34624e6daabff36b38c3678e7ea2cf2024706d26c8d7b864bb2f8be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.04164",
    "kind": "arxiv",
    "version": 3
  }
}