Pith Number

pith:OO4HKXIO

pith:2026:OO4HKXIOTRKKMEOOQJ25LBVXZN

not attested not anchored not stored refs pending

Entanglement Structure Across $\mathbb{Z}_n$ Phase Transitions in 1D Rydberg Atom Arrays

Hyeonjun Yeo, Hyunchul Nha, Kabgyun Jeong

arxiv:2606.31165 v1 · 2026-06-30 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OO4HKXIOTRKKMEOOQJ25LBVXZN}

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	2026-07-01T01:17:30.961771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73b8755d0e9c54a611ce8275d586b7cb44815c857ff533e884f21d2e8ab99376

Aliases

arxiv: 2606.31165 · arxiv_version: 2606.31165v1 · doi: 10.48550/arxiv.2606.31165 · pith_short_12: OO4HKXIOTRKK · pith_short_16: OO4HKXIOTRKKMEOO · pith_short_8: OO4HKXIO

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/OO4HKXIOTRKKMEOOQJ25LBVXZN \
  | 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: 73b8755d0e9c54a611ce8275d586b7cb44815c857ff533e884f21d2e8ab99376

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa56a8251f31cde7120b1c34a48cbc17245b6e5abe50eae7424ddde821eb2e0a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-30T05:55:42Z",
    "title_canon_sha256": "61ee9f89848cf64f4bdda64b490f09b23887f2854f21234b6074f9c29c9cfc36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31165",
    "kind": "arxiv",
    "version": 1
  }
}