Pith Number

pith:P5MJXGLE

pith:2023:P5MJXGLESF3XNGI2V7AZDRNSTI

not attested not anchored not stored refs pending

Trace and Index of Dirac-Schr\"odinger Operators on Open Space with Operator Potentials

Oliver F\"urst

arxiv:2311.02593 v3 · 2023-11-05 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5MJXGLESF3XNGI2V7AZDRNSTI}

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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

Higher order spectral shift of Euclidean Callias operators

Receipt and verification

First computed	2026-07-05T09:48:29.997044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f589b9964917776991aafc191c5b29a1249efaaa63a58eeed0f42890cd7ebb7

Aliases

arxiv: 2311.02593 · arxiv_version: 2311.02593v3 · doi: 10.48550/arxiv.2311.02593 · pith_short_12: P5MJXGLESF3X · pith_short_16: P5MJXGLESF3XNGI2 · pith_short_8: P5MJXGLE

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/P5MJXGLESF3XNGI2V7AZDRNSTI \
  | 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: 7f589b9964917776991aafc191c5b29a1249efaaa63a58eeed0f42890cd7ebb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfe75d0b31bb9fa57a207b63cd5e43533654cd34215d51f191291c3a99be98ec",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-11-05T08:23:24Z",
    "title_canon_sha256": "57f570b5bfc20de70b74cfca5e51bc9bdbce5d4f582de1ca5677d03b19d58fd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.02593",
    "kind": "arxiv",
    "version": 3
  }
}