Pith Number

pith:VYDAGRQC

pith:2025:VYDAGRQCCGMSQKG2VAJRY6POOH

not attested not anchored not stored refs pending

Spontaneous continuous-symmetry breaking and tower of states in a comb chain

Bin-Bin Mao, Jingya Wang, Xu Tian, Zenan Liu, Zheng Yan, Zhe Wang, Zijian Xiong

arxiv:2506.23258 v4 · 2025-06-29 · cond-mat.str-el · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYDAGRQCCGMSQKG2VAJRY6POOH}

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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

2 papers in Pith

Spontaneous continuous-symmetry breaking and tower of states in a comb chain

Criticality on R\'enyi defects at (2+1)$d$ O(3) quantum critical points

Receipt and verification

First computed	2026-05-20T00:00:21.676875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae0603460211992828daa8131c79ee71ef79aef5dc4537c82e6987b673de6074

Aliases

arxiv: 2506.23258 · arxiv_version: 2506.23258v4 · doi: 10.48550/arxiv.2506.23258 · pith_short_12: VYDAGRQCCGMS · pith_short_16: VYDAGRQCCGMSQKG2 · pith_short_8: VYDAGRQC

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/VYDAGRQCCGMSQKG2VAJRY6POOH \
  | 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: ae0603460211992828daa8131c79ee71ef79aef5dc4537c82e6987b673de6074

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d7651322b5961c3f6258a29ed6c95383bf1f28499e6cc8f5b7edb0e497e91a0",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2025-06-29T14:29:25Z",
    "title_canon_sha256": "c786d1bf7653d972e4e6e9af832c0cb6188638ac95c64ba22fd682f7d6b9cd51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23258",
    "kind": "arxiv",
    "version": 4
  }
}