Pith Number

pith:PTYDAXRH

pith:2009:PTYDAXRHE7CEKTUZUVSM3DOJE5

not attested not anchored not stored refs pending

Wigner Measures in Noncommutative Quantum Mechanics

C. Bastos, J.N. Prata, N.C. Dias

arxiv:0907.4438 v1 · 2009-07-25 · 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{PTYDAXRHE7CEKTUZUVSM3DOJE5}

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	2026-05-18T02:34:38.398921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cf0305e2727c4454e99a564cd8dc9276732376a2ce69d1c67d3a2f88c8c716a

Aliases

arxiv: 0907.4438 · arxiv_version: 0907.4438v1 · doi: 10.48550/arxiv.0907.4438 · pith_short_12: PTYDAXRHE7CE · pith_short_16: PTYDAXRHE7CEKTUZ · pith_short_8: PTYDAXRH

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/PTYDAXRHE7CEKTUZUVSM3DOJE5 \
  | 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: 7cf0305e2727c4454e99a564cd8dc9276732376a2ce69d1c67d3a2f88c8c716a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f9555cc510cafdd84f3f8a02062321476406c44ff5529685d6f6c76efbdd322",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-07-25T18:04:47Z",
    "title_canon_sha256": "0e9f121f1fde44308efe1727ac62417dc593b91b0d938eb8efa9aba4b7b5c260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4438",
    "kind": "arxiv",
    "version": 1
  }
}