Pith Number

pith:UIIC6FT4

pith:2016:UIIC6FT4PAKS6YBVKXLWQXDRKP

not attested not anchored not stored refs pending

The spectrogram expansion of Wigner functions

Johannes Keller

arxiv:1607.00362 v2 · 2016-07-01 · math-ph · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UIIC6FT4PAKS6YBVKXLWQXDRKP}

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	2026-05-18T00:17:13.653421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2102f167c78152f603555d7685c7153ecb84bce5bd76d685c08ea79ba790908

Aliases

arxiv: 1607.00362 · arxiv_version: 1607.00362v2 · doi: 10.48550/arxiv.1607.00362 · pith_short_12: UIIC6FT4PAKS · pith_short_16: UIIC6FT4PAKS6YBV · pith_short_8: UIIC6FT4

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/UIIC6FT4PAKS6YBVKXLWQXDRKP \
  | 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: a2102f167c78152f603555d7685c7153ecb84bce5bd76d685c08ea79ba790908

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1327e4a6e0154693a6204c0f2ea99545488b22aaba09f4455ec199dbf4ef3c03",
    "cross_cats_sorted": [
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-07-01T19:34:34Z",
    "title_canon_sha256": "6250d39551ace2aacab80b09040a4601cef443e133129b82d2a46e9e7186ba92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00362",
    "kind": "arxiv",
    "version": 2
  }
}