Pith Number

pith:DKXUMPOA

pith:2014:DKXUMPOASEMTO3R777AJKYKLOD

not attested not anchored not stored refs pending

Wigner measures and observability for the Schr\"odinger equation on the disk

Fabricio Maci\`a, Matthieu L\'eautaud, Nalini Anantharaman

arxiv:1406.0681 v2 · 2014-06-03 · math.AP · math-ph · math.MP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKXUMPOASEMTO3R777AJKYKLOD}

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	2026-05-18T01:20:21.269006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aaf463dc09119376e3fffc095614b70cda94694dff24491a89164698cbbdbba

Aliases

arxiv: 1406.0681 · arxiv_version: 1406.0681v2 · doi: 10.48550/arxiv.1406.0681 · pith_short_12: DKXUMPOASEMT · pith_short_16: DKXUMPOASEMTO3R7 · pith_short_8: DKXUMPOA

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/DKXUMPOASEMTO3R777AJKYKLOD \
  | 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: 1aaf463dc09119376e3fffc095614b70cda94694dff24491a89164698cbbdbba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9133df728714ba804b5fa86b7804a243207f1f2f8a836c0f102cf8bedeb1291c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-06-03T12:10:03Z",
    "title_canon_sha256": "e0015ff95921488fb31546cb09a1b1f9eed119687d8885335b27c76df62e83b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0681",
    "kind": "arxiv",
    "version": 2
  }
}