Pith Number

pith:DKBXL63P

pith:2026:DKBXL63P2MYR4SMZ3SOCUKKVZV

not attested not anchored not stored refs pending

Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations

Carolyn Zhang, Po-Shen Hsin

arxiv:2607.21728 v1 · 2026-07-23 · quant-ph · cond-mat.str-el · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKBXL63P2MYR4SMZ3SOCUKKVZV}

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	2026-07-27T00:20:17.749144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a8375fb6fd3311e4999dc9c2a2955cd501e35b73e941b55e19d46f70ca7612b

Aliases

arxiv: 2607.21728 · arxiv_version: 2607.21728v1 · doi: 10.48550/arxiv.2607.21728 · pith_short_12: DKBXL63P2MYR · pith_short_16: DKBXL63P2MYR4SMZ · pith_short_8: DKBXL63P

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/DKBXL63P2MYR4SMZ3SOCUKKVZV \
  | 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: 1a8375fb6fd3311e4999dc9c2a2955cd501e35b73e941b55e19d46f70ca7612b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "987f37abfddd90912ef72d96ea292b6e661f0749de288bab18beec8ba8a70d62",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-th",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-23T18:24:51Z",
    "title_canon_sha256": "328dc1561e72c734888420c91980dce3de099c5874f212413c7c7c02cc554dad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21728",
    "kind": "arxiv",
    "version": 1
  }
}