Pith Number

pith:3XOQ66VW

pith:2020:3XOQ66VWBQ5DURFAN4EULYP4CB

not attested not anchored not stored refs pending

The index theorem of lattice Wilson--Dirac operators via higher index theory

Yosuke Kubota

arxiv:2009.03570 v1 · 2020-09-08 · math-ph · math.KT · math.MP

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\usepackage{pith}
\pithnumber{3XOQ66VWBQ5DURFAN4EULYP4CB}

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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

$\eta$ invariant of massive Wilson Dirac operator and the index

Receipt and verification

First computed	2026-07-05T01:33:48.738770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dddd0f7ab60c3a3a44a06f0945e1fc10453d3d81dbc979592b909c3fab304fcc

Aliases

arxiv: 2009.03570 · arxiv_version: 2009.03570v1 · doi: 10.48550/arxiv.2009.03570 · pith_short_12: 3XOQ66VWBQ5D · pith_short_16: 3XOQ66VWBQ5DURFA · pith_short_8: 3XOQ66VW

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/3XOQ66VWBQ5DURFAN4EULYP4CB \
  | 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: dddd0f7ab60c3a3a44a06f0945e1fc10453d3d81dbc979592b909c3fab304fcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa44e62e740897a13835f503739ed674bdc1e61cb5243393c7bf2f76da9a92b5",
    "cross_cats_sorted": [
      "math.KT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-09-08T08:06:49Z",
    "title_canon_sha256": "0dc6cea7eeb211b0a8c330994fb34c7b9b6cabe0561e44f4676aa3a2a2eb2669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.03570",
    "kind": "arxiv",
    "version": 1
  }
}