Pith Number

pith:A2I5AVOV

pith:2016:A2I5AVOVF2G6IJYER5RSVB6FZJ

not attested not anchored not stored refs pending

Geometry and Dynamics of Gaussian Wave Packets and their Wigner Transforms

Cesare Tronci, Tomoki Ohsawa

arxiv:1611.04081 v3 · 2016-11-13 · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A2I5AVOVF2G6IJYER5RSVB6FZJ}

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	2026-05-18T00:34:15.676340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0691d055d52e8de427048f632a87c5ca5ac661d8f743bc749ea996b5ba068e32

Aliases

arxiv: 1611.04081 · arxiv_version: 1611.04081v3 · doi: 10.48550/arxiv.1611.04081 · pith_short_12: A2I5AVOVF2G6 · pith_short_16: A2I5AVOVF2G6IJYE · pith_short_8: A2I5AVOV

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/A2I5AVOVF2G6IJYER5RSVB6FZJ \
  | 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: 0691d055d52e8de427048f632a87c5ca5ac661d8f743bc749ea996b5ba068e32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a42bd6aabc44cbb5e5beefe056751651ee2f291203979553f0a44d452168f633",
    "cross_cats_sorted": [
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-11-13T04:25:34Z",
    "title_canon_sha256": "d7a3766918c619c8e45ee79a05a4425391b76429c1c2b38a72e3c79cc0b0974a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04081",
    "kind": "arxiv",
    "version": 3
  }
}