Pith Number

pith:HPOCUWQY

pith:2013:HPOCUWQYWYKFXX4H3FRSOMVISI

not attested not anchored not stored refs pending

Metaplectic sheets and caustic traversals in the Weyl representation

Alfredo M. Ozorio de Almeida, Gert-Ludwig Ingold

arxiv:1309.5068 v1 · 2013-09-19 · math-ph · math.MP · 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{HPOCUWQYWYKFXX4H3FRSOMVISI}

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	2026-05-18T02:57:44.907403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bdc2a5a18b6145bdf87d9632732a892311011af307806a3709f69382a9abe83

Aliases

arxiv: 1309.5068 · arxiv_version: 1309.5068v1 · doi: 10.48550/arxiv.1309.5068 · pith_short_12: HPOCUWQYWYKF · pith_short_16: HPOCUWQYWYKFXX4H · pith_short_8: HPOCUWQY

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/HPOCUWQYWYKFXX4H3FRSOMVISI \
  | 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: 3bdc2a5a18b6145bdf87d9632732a892311011af307806a3709f69382a9abe83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5424b2a498022707c4336f53f11d900347897edb157d61326279a922b93cdb44",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-19T18:28:12Z",
    "title_canon_sha256": "13af4c46c6d3afe172f46277658384765688071240838ad74e9e8ddb00c766a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5068",
    "kind": "arxiv",
    "version": 1
  }
}