Pith Number

pith:4ZPK3IOU

pith:2025:4ZPK3IOU2VTV22TC6ETBGMSR7Z

not attested not anchored not stored refs pending

$\mathbb{Z}_2$ topological invariant in three-dimensional PT- and PC-symmetric class CI band structures

Ken Shiozaki

arxiv:2509.19825 v3 · 2025-09-24 · 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{4ZPK3IOU2VTV22TC6ETBGMSR7Z}

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	2026-05-20T14:03:21.336375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e65eada1d4d5675d6a62f126133251fe53b840a0f62e6900c06da45eed1de5e7

Aliases

arxiv: 2509.19825 · arxiv_version: 2509.19825v3 · doi: 10.48550/arxiv.2509.19825 · pith_short_12: 4ZPK3IOU2VTV · pith_short_16: 4ZPK3IOU2VTV22TC · pith_short_8: 4ZPK3IOU

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/4ZPK3IOU2VTV22TC6ETBGMSR7Z \
  | 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: e65eada1d4d5675d6a62f126133251fe53b840a0f62e6900c06da45eed1de5e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f39eb8707b20f1f41e609572e2a57f87e1e384b2239c6ead1320dda55948711",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2025-09-24T07:10:18Z",
    "title_canon_sha256": "ea45414d41c423ea1ea5fc0a3ada8ce28a7e0834dfa35a083248523d132f7f65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.19825",
    "kind": "arxiv",
    "version": 3
  }
}