Pith Number

pith:WSLIUAGE

pith:2012:WSLIUAGEFAOPHIPQJNVNXGS4J6

not attested not anchored not stored refs pending

Hardy Uncertainty Principle and unique continuation properties of covariant Schrodinger flows

Alberto Ruiz, Juan Antonio Barcelo, Luca Fanelli, Mari Cruz Vilela, Susana Gutierrez

arxiv:1206.5366 v1 · 2012-06-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WSLIUAGEFAOPHIPQJNVNXGS4J6}

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	2026-05-18T01:18:28.444990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4968a00c4281cf3a1f04b6adb9a5c4f90676cf7662b1e9cfa60cacc69b21194

Aliases

arxiv: 1206.5366 · arxiv_version: 1206.5366v1 · doi: 10.48550/arxiv.1206.5366 · pith_short_12: WSLIUAGEFAOP · pith_short_16: WSLIUAGEFAOPHIPQ · pith_short_8: WSLIUAGE

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/WSLIUAGEFAOPHIPQJNVNXGS4J6 \
  | 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: b4968a00c4281cf3a1f04b6adb9a5c4f90676cf7662b1e9cfa60cacc69b21194

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee1effe11b7a35da4ea2d6ff163f789913e8ecc78e80f9f9c38866c900732b6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-23T07:53:58Z",
    "title_canon_sha256": "57071571b1ed52ffe6fe944b87025a9e69089a9889da358b036077976d811e2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5366",
    "kind": "arxiv",
    "version": 1
  }
}