Pith Number

pith:FR377SWF

pith:2020:FR377SWFLUOT77E3DS33XNKQXS

not attested not anchored not stored refs pending

A lattice version of the Atiyah-Singer index theorem

Mayuko Yamashita

arxiv:2007.06239 v3 · 2020-07-13 · math.DG · hep-lat · math-ph · math.KT · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FR377SWFLUOT77E3DS33XNKQXS}

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

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

Receipt and verification

First computed	2026-07-05T02:17:28.074868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c77ffcac55d1d3ffc9b1cb7bbb550bc9b072cfe2facffcbc7f8c3e02f4144b4

Aliases

arxiv: 2007.06239 · arxiv_version: 2007.06239v3 · doi: 10.48550/arxiv.2007.06239 · pith_short_12: FR377SWFLUOT · pith_short_16: FR377SWFLUOT77E3 · pith_short_8: FR377SWF

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/FR377SWFLUOT77E3DS33XNKQXS \
  | 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: 2c77ffcac55d1d3ffc9b1cb7bbb550bc9b072cfe2facffcbc7f8c3e02f4144b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5370c6073450ebf720cf66bb951ed6b6ef5492c8faf2473e61deb18c010d75e0",
    "cross_cats_sorted": [
      "hep-lat",
      "math-ph",
      "math.KT",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-07-13T08:47:57Z",
    "title_canon_sha256": "5e1b384f00b05ce58e70c736016115f96e666f637254667a5c3bbbd861f8e171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.06239",
    "kind": "arxiv",
    "version": 3
  }
}