Pith Number

pith:ICU4AQZ5

pith:2013:ICU4AQZ53BGCA24JWEE6YD7NVH

not attested not anchored not stored refs pending

From the Weyl quantization of a particle on the circle to number-phase Wigner functions

Jaromir Tosiek, Maciej Przanowski, Przemyslaw Brzykcy

arxiv:1311.7335 v1 · 2013-11-28 · 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{ICU4AQZ53BGCA24JWEE6YD7NVH}

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	2026-05-18T01:46:05.181241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40a9c0433dd84c206b89b109ec0feda9fd2e0da44d265fee33049aa9ac467d35

Aliases

arxiv: 1311.7335 · arxiv_version: 1311.7335v1 · doi: 10.48550/arxiv.1311.7335 · pith_short_12: ICU4AQZ53BGC · pith_short_16: ICU4AQZ53BGCA24J · pith_short_8: ICU4AQZ5

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/ICU4AQZ53BGCA24JWEE6YD7NVH \
  | 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: 40a9c0433dd84c206b89b109ec0feda9fd2e0da44d265fee33049aa9ac467d35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67d3656f9e5a186af3110d01e59bfa7a274982361b10f3f34e48e69fded0576d",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-28T14:51:08Z",
    "title_canon_sha256": "423512a270b73a1d7c0f47a706c7afd17c27a2c23030aad21fe0ee5f78cf1d3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7335",
    "kind": "arxiv",
    "version": 1
  }
}