Pith Number

pith:S6V4Y4ZT

pith:2011:S6V4Y4ZTS3QPQ6PWAQJROFKO5S

not attested not anchored not stored refs pending

Preferred Quantization Rules: Born-Jordan vs. Weyl: the Pseudo-Differential Point of View

Franz Luef, Maurice de Gosson

arxiv:1102.5132 v1 · 2011-02-25 · math-ph · math.FA · 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{S6V4Y4ZTS3QPQ6PWAQJROFKO5S}

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	2026-05-18T04:27:56.207442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97abcc733396e0f879f6041317154eecbd2f0c34631447635af3dad0e1f901b4

Aliases

arxiv: 1102.5132 · arxiv_version: 1102.5132v1 · doi: 10.48550/arxiv.1102.5132 · pith_short_12: S6V4Y4ZTS3QP · pith_short_16: S6V4Y4ZTS3QPQ6PW · pith_short_8: S6V4Y4ZT

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/S6V4Y4ZTS3QPQ6PWAQJROFKO5S \
  | 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: 97abcc733396e0f879f6041317154eecbd2f0c34631447635af3dad0e1f901b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "476af63c37f48dc90c13384eb16128826cb2ea8a1c906a276a31cba8bc793ba8",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-25T00:06:19Z",
    "title_canon_sha256": "1c691119401298f5390962887ba3d1f3bb3f9afcc45d01cee7e834dda48a5a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5132",
    "kind": "arxiv",
    "version": 1
  }
}