Pith Number

pith:Y6VQBUFK

pith:2018:Y6VQBUFK3FMI72YUMWUSL4FS4H

not attested not anchored not stored refs pending

The Weyl calculus for group generators satisfying the canonical commutation relations

Jan van Neerven, Pierre Portal

arxiv:1806.00980 v1 · 2018-06-04 · 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{Y6VQBUFK3FMI72YUMWUSL4FS4H}

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	2026-05-18T00:14:17.828210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7ab00d0aad9588feb1465a925f0b2e1e7ac697b91c05d84d0dd4112db910c73

Aliases

arxiv: 1806.00980 · arxiv_version: 1806.00980v1 · doi: 10.48550/arxiv.1806.00980 · pith_short_12: Y6VQBUFK3FMI · pith_short_16: Y6VQBUFK3FMI72YU · pith_short_8: Y6VQBUFK

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/Y6VQBUFK3FMI72YUMWUSL4FS4H \
  | 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: c7ab00d0aad9588feb1465a925f0b2e1e7ac697b91c05d84d0dd4112db910c73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8cb44403af269c04b7a4bac02576536e8b1f7e57e53af929b6681d714978e0c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-06-04T06:49:11Z",
    "title_canon_sha256": "969fee952a3f7921d0607067420d9b6a3ad93e38cbb99bb997128a747b3bb612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00980",
    "kind": "arxiv",
    "version": 1
  }
}