Pith Number

pith:GJ7PD7WP

pith:2026:GJ7PD7WPXIABP77WBENTOCYFCI

not attested not anchored not stored refs pending

Soft-Phonon-Driven Effective Inversion-Symmetry Crossover in Quantum Paraelectrics

Fei Yang, Guodong Zhao, Jong-Woo Kim, Long-Qing Chen, Matthew Krogstad, Philip J. Ryan, Richard D. Schaller, Seng Huat Lee, Xiaojiang Li

arxiv:2608.11471 v1 · 2026-08-11 · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJ7PD7WPXIABP77WBENTOCYFCI}

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	2026-08-13T00:21:59.299429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

327ef1fecfba0017fff6091b370b0512222d4107a7dd8aa6bf90dd7bfa18158f

Aliases

arxiv: 2608.11471 · arxiv_version: 2608.11471v1 · doi: 10.48550/arxiv.2608.11471 · pith_short_12: GJ7PD7WPXIAB · pith_short_16: GJ7PD7WPXIABP77W · pith_short_8: GJ7PD7WP

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/GJ7PD7WPXIABP77WBENTOCYFCI \
  | 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: 327ef1fecfba0017fff6091b370b0512222d4107a7dd8aa6bf90dd7bfa18158f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ca9fa42d88c324b34bc56569993d8bc855707e12fc0ed31dbbac6886d6b4e54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2026-08-11T22:16:07Z",
    "title_canon_sha256": "02e402a296b5b41942edda1e3ea4640aef5eeda5496b77c61cca5c3c47e007a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11471",
    "kind": "arxiv",
    "version": 1
  }
}