Pith Number

pith:U23KS5VG

pith:2016:U23KS5VGT7NR5VXXZ4WMDMWZHE

not attested not anchored not stored refs pending

On the symplectic covariance and interferences of time-frequency distributions

Elena Cordero, Fabio Nicola, Maurice de Gosson, Monika Doerfler

arxiv:1611.07442 v1 · 2016-11-22 · math.FA · 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{U23KS5VGT7NR5VXXZ4WMDMWZHE}

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	2026-05-18T00:20:27.686457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6b6a976a69fdb1ed6f7cf2cc1b2d9391cfff25fc1972febe7400cda85acb99c

Aliases

arxiv: 1611.07442 · arxiv_version: 1611.07442v1 · doi: 10.48550/arxiv.1611.07442 · pith_short_12: U23KS5VGT7NR · pith_short_16: U23KS5VGT7NR5VXX · pith_short_8: U23KS5VG

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/U23KS5VGT7NR5VXXZ4WMDMWZHE \
  | 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: a6b6a976a69fdb1ed6f7cf2cc1b2d9391cfff25fc1972febe7400cda85acb99c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c46e0d92e8de737f933e7847df3f5b04623ca4b5eebef0324d84b3a4efed1708",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-22T18:08:59Z",
    "title_canon_sha256": "1f4572338d0c6e5be3678afbd3c511dfb8d8adab53f7ee7123361c260248d44c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07442",
    "kind": "arxiv",
    "version": 1
  }
}