Pith Number

pith:ZCKGZX7U

pith:2025:ZCKGZX7U6SUFHO4IHFGGLVHGHU

not attested not anchored not stored refs pending

Polarization-based indices in quantum many-body systems: validity and extension beyond one dimension

Yasuhiro Tada

arxiv:2507.08294 v3 · 2025-07-11 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCKGZX7U6SUFHO4IHFGGLVHGHU}

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	2026-05-25T02:01:05.576701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8946cdff4f4a853bb88394c65d4e63d136bece8f483166bd5acb11d1465b200

Aliases

arxiv: 2507.08294 · arxiv_version: 2507.08294v3 · doi: 10.48550/arxiv.2507.08294 · pith_short_12: ZCKGZX7U6SUF · pith_short_16: ZCKGZX7U6SUFHO4I · pith_short_8: ZCKGZX7U

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/ZCKGZX7U6SUFHO4IHFGGLVHGHU \
  | 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: c8946cdff4f4a853bb88394c65d4e63d136bece8f483166bd5acb11d1465b200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3e7e021a0bdfb0607d7d59ad6f966aac866bd8006608066e09e4aa12a6df3b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2025-07-11T03:55:52Z",
    "title_canon_sha256": "a8647e1757cce88da8e2ff1ed9475c3a39c9f008370b53a2d30f6d8e8250e34e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08294",
    "kind": "arxiv",
    "version": 3
  }
}