Pith Number

pith:OK5W7LKE

pith:2024:OK5W7LKEQJUCUX5Y23GTCSTNJK

not attested not anchored not stored refs pending

The index of lattice Dirac operators and $K$-theory

Hidenori Fukaya, Mikio Furuta, Satoshi Yamaguchi, Shinichiroh Matsuo, Shoto Aoki, Tetsuya Onogi

arxiv:2407.17708 v2 · 2024-07-25 · math.KT · cond-mat.str-el · hep-lat · hep-th · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OK5W7LKEQJUCUX5Y23GTCSTNJK}

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.

Cited by

1 paper in Pith

Reflection Symmetry, APS Boundary Conditions, and Equivariant Spectral Flow on a Warped Cylinder

Receipt and verification

First computed	2026-07-05T11:13:56.869206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72bb6fad4482682a5fb8d6cd314a6d4a9eec230de5557bea08a6b9acf3d5b09e

Aliases

arxiv: 2407.17708 · arxiv_version: 2407.17708v2 · doi: 10.48550/arxiv.2407.17708 · pith_short_12: OK5W7LKEQJUC · pith_short_16: OK5W7LKEQJUCUX5Y · pith_short_8: OK5W7LKE

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/OK5W7LKEQJUCUX5Y23GTCSTNJK \
  | 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: 72bb6fad4482682a5fb8d6cd314a6d4a9eec230de5557bea08a6b9acf3d5b09e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2114b09274e6074682b6479d51b0eaba57045aeea75e84f2ca2815b216f8c292",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-lat",
      "hep-th",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2024-07-25T02:03:51Z",
    "title_canon_sha256": "8935755cbbeb50a5cfa5eae87bc63664722b2be9ce0ea1e4ae472ad83de64f68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.17708",
    "kind": "arxiv",
    "version": 2
  }
}