Pith Number

pith:32YYQ4FX

pith:2016:32YYQ4FXKAO6ZHWMPZWKD5DL3Z

not attested not anchored not stored refs pending

Born-Jordan Pseudodifferential Operators and the Dirac Correspondence: Beyond the Groenewold-van Hove Theorem

Fabio Nicola, Maurice de Gosson

arxiv:1606.07796 v1 · 2016-06-24 · math.FA · 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{32YYQ4FXKAO6ZHWMPZWKD5DL3Z}

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.

Receipt and verification

First computed	2026-05-18T00:20:27.755149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deb18870b7501dec9ecc7e6ca1f46bde4f883dca59b020dec5da436044e89f36

Aliases

arxiv: 1606.07796 · arxiv_version: 1606.07796v1 · doi: 10.48550/arxiv.1606.07796 · pith_short_12: 32YYQ4FXKAO6 · pith_short_16: 32YYQ4FXKAO6ZHWM · pith_short_8: 32YYQ4FX

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/32YYQ4FXKAO6ZHWMPZWKD5DL3Z \
  | 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: deb18870b7501dec9ecc7e6ca1f46bde4f883dca59b020dec5da436044e89f36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26bfd12a670b516e8b18fc28d0a0a1f7199017962e98440a4409250c524ec691",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-06-24T19:29:47Z",
    "title_canon_sha256": "9234ff6b6e25b837a833388ac73c0f8d33af467df6e828ffcd70646ac2907a38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07796",
    "kind": "arxiv",
    "version": 1
  }
}