Pith Number

pith:7H2FWQCY

pith:2026:7H2FWQCYM2AQIDZ2NV77TS5H3N

not attested not anchored not stored refs pending

Infinite-Level Hierarchy of Solvable Quantum Circuits

Michael A. Rampp, Pieter W. Claeys, Suhail A. Rather

arxiv:2606.23803 v1 · 2026-06-22 · quant-ph · cond-mat.stat-mech · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7H2FWQCYM2AQIDZ2NV77TS5H3N}

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	2026-06-24T00:14:27.374741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9f45b40586681040f3a6d7ff9cba7db79fa775fa6d14918459ea1f9137d5783

Aliases

arxiv: 2606.23803 · arxiv_version: 2606.23803v1 · doi: 10.48550/arxiv.2606.23803 · pith_short_12: 7H2FWQCYM2AQ · pith_short_16: 7H2FWQCYM2AQIDZ2 · pith_short_8: 7H2FWQCY

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/7H2FWQCYM2AQIDZ2NV77TS5H3N \
  | 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: f9f45b40586681040f3a6d7ff9cba7db79fa775fa6d14918459ea1f9137d5783

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2167a47f772ef9681325c4ee366135c97d46722cfeaea5f57333fb579c291af1",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-22T18:00:05Z",
    "title_canon_sha256": "5d95fbc3ecd08dfaf92baeefe0019c6a686363294c1c75e211f8c51dd4a4119c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23803",
    "kind": "arxiv",
    "version": 1
  }
}