Pith Number

pith:PTVP4QFV

pith:2013:PTVP4QFVKG7QYL6XJLIY46KMHW

not attested not anchored not stored refs pending

Born-Jordan Quantization and the Uncertainty Principle

Maurice A. de Gosson

arxiv:1303.2590 v1 · 2013-03-11 · math-ph · math.MP · math.OA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTVP4QFVKG7QYL6XJLIY46KMHW}

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	2026-05-18T01:51:08.761421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ceafe40b551bf0c2fd74ad18e794c3d9b755e5661edf5d91b873f75a08a50b2

Aliases

arxiv: 1303.2590 · arxiv_version: 1303.2590v1 · doi: 10.48550/arxiv.1303.2590 · pith_short_12: PTVP4QFVKG7Q · pith_short_16: PTVP4QFVKG7QYL6X · pith_short_8: PTVP4QFV

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/PTVP4QFVKG7QYL6XJLIY46KMHW \
  | 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: 7ceafe40b551bf0c2fd74ad18e794c3d9b755e5661edf5d91b873f75a08a50b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a70e12a14b48c8577ccfe4c3580b72a4f8147d568537a39d952dfcdd66b74c11",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-03-11T17:23:29Z",
    "title_canon_sha256": "e83eebb3759eeb5729bcbfca5b61b7504750621d01802c7ddb4fd2cf151cfb46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2590",
    "kind": "arxiv",
    "version": 1
  }
}