Pith Number

pith:UN3K7S24

pith:2026:UN3K7S24CTZBBLWG4USQ2SJLLT

not attested not anchored not stored refs pending

Hierarchy of mixed symmetry protected topological states in extended cluster states under subsystem decoherence

Takahiro Orito, Yoshihito Kuno

arxiv:2606.22507 v1 · 2026-06-21 · quant-ph · cond-mat.stat-mech · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UN3K7S24CTZBBLWG4USQ2SJLLT}

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	2026-06-23T02:13:40.375854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a376afcb5c14f210aec6e5250d492b5cf0ccc66b71a7bb0a53a2e3bb975c1c50

Aliases

arxiv: 2606.22507 · arxiv_version: 2606.22507v1 · doi: 10.48550/arxiv.2606.22507 · pith_short_12: UN3K7S24CTZB · pith_short_16: UN3K7S24CTZBBLWG · pith_short_8: UN3K7S24

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/UN3K7S24CTZBBLWG4USQ2SJLLT \
  | 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: a376afcb5c14f210aec6e5250d492b5cf0ccc66b71a7bb0a53a2e3bb975c1c50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8516d336b47df477170590b42f4e73d8f0b88cd59a88b212a5f9cca7a89c07f2",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cond-mat.str-el"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-21T14:02:42Z",
    "title_canon_sha256": "98b78262635a9e76edba6186aa4151fa8d5dd2ea36a33bdab1f7e772d1fbff23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22507",
    "kind": "arxiv",
    "version": 1
  }
}