Pith Number

pith:BXONJ2HI

pith:2025:BXONJ2HINIKX32Y5QQN2UG7FIL

not attested not anchored not stored refs pending

Hierarchical Structures of Quantum Geometric Spectrum in Quasicrystals: A Renormalization-Group Study

Huaqing Huang, Jundi Wang, Yuxiao Chen

arxiv:2507.04213 v2 · 2025-07-06 · cond-mat.mes-hall

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BXONJ2HINIKX32Y5QQN2UG7FIL}

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	2026-06-03T01:05:05.068308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ddcd4e8e86a157deb1d841baa1be542ea9a6818a2a7308db170015069e62798

Aliases

arxiv: 2507.04213 · arxiv_version: 2507.04213v2 · doi: 10.48550/arxiv.2507.04213 · pith_short_12: BXONJ2HINIKX · pith_short_16: BXONJ2HINIKX32Y5 · pith_short_8: BXONJ2HI

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/BXONJ2HINIKX32Y5QQN2UG7FIL \
  | 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: 0ddcd4e8e86a157deb1d841baa1be542ea9a6818a2a7308db170015069e62798

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eebc51761e12ffa5557cadf65eddb7f04afedd8d20432cef60a72c8084b0ab96",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2025-07-06T02:13:33Z",
    "title_canon_sha256": "c0085fee3e56f3439147ce0bb331dd2c2a24683d2a86a91d6a5ed25ce0ca604a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04213",
    "kind": "arxiv",
    "version": 2
  }
}