Pith Number

pith:XHI2ARHH

pith:2026:XHI2ARHHPH5RTAZV5F7RGBORU6

not attested not anchored not stored refs pending

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions

Da-Chuan Lu, Nathanan Tantivasadakarn, Shang Liu, Xie Chen

arxiv:2605.27672 v1 · 2026-05-26 · cond-mat.str-el · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XHI2ARHHPH5RTAZV5F7RGBORU6}

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.

Cited by

1 paper in Pith

Twin Phases: Phase Transitions Without Hidden Symmetry Breaking

Receipt and verification

First computed	2026-05-28T01:04:45.843306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9d1a044e779fb198335e97f1305d1a789e42aa11463f18795356a75634db983

Aliases

arxiv: 2605.27672 · arxiv_version: 2605.27672v1 · doi: 10.48550/arxiv.2605.27672 · pith_short_12: XHI2ARHHPH5R · pith_short_16: XHI2ARHHPH5RTAZV · pith_short_8: XHI2ARHH

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/XHI2ARHHPH5RTAZV5F7RGBORU6 \
  | 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: b9d1a044e779fb198335e97f1305d1a789e42aa11463f18795356a75634db983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e9a87213dc610781be10f084181b6e1f5cb4d0822b90c6cd9da7d17ca148af6",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-05-26T20:48:56Z",
    "title_canon_sha256": "bf49e8d683cb8e48c6d1634ee81f5d474a76781e19ffcabcea0a6576f5d3fe8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27672",
    "kind": "arxiv",
    "version": 1
  }
}