Pith Number

pith:XHGNEODK

pith:2024:XHGNEODKSSSFTO746QGJCVS4EH

not attested not anchored not stored refs pending

Dirac operators and local invariants on perturbations of Minkowski space

Andr\'as Vasy, Micha{\l} Wrochna, Nguyen Viet Dang

arxiv:2412.12714 v1 · 2024-12-17 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XHGNEODKSSSFTO746QGJCVS4EH}

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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

On the relationship between the semiclassical and standard pseudodifferential algebras

Receipt and verification

First computed	2026-07-05T09:50:19.636893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9ccd2386a94a459bbfcf40c91565c21fd59b87c5c93d04c43899bcec20a9504

Aliases

arxiv: 2412.12714 · arxiv_version: 2412.12714v1 · doi: 10.48550/arxiv.2412.12714 · pith_short_12: XHGNEODKSSSF · pith_short_16: XHGNEODKSSSFTO74 · pith_short_8: XHGNEODK

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/XHGNEODKSSSFTO746QGJCVS4EH \
  | 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: b9ccd2386a94a459bbfcf40c91565c21fd59b87c5c93d04c43899bcec20a9504

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cd4dfd9b8a7090bce35b8c01e3b79c7cd1da2babd4afa94fe6e76a71cb8b720",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-17T09:28:50Z",
    "title_canon_sha256": "6caf3f0ea0f6b09d1ec36ab27f4e2561572f9c4b9e56c3a6600431c6e303e716"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12714",
    "kind": "arxiv",
    "version": 1
  }
}