Pith Number

pith:HW6JACKK

pith:2013:HW6JACKKP3IV2SUD7VH3EUYXBD

not attested not anchored not stored refs pending

Propagation of the Gabor Wave Front Set for Schr\"odinger Equations with non-smooth potentials

Elena Cordero, Fabio Nicola, Luigi Rodino

arxiv:1309.0965 v4 · 2013-09-04 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HW6JACKKP3IV2SUD7VH3EUYXBD}

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	2026-05-18T02:26:53.068481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dbc90094a7ed15d4a83fd4fb2531708c6d227c36dea777dc0ba646b24a411db

Aliases

arxiv: 1309.0965 · arxiv_version: 1309.0965v4 · doi: 10.48550/arxiv.1309.0965 · pith_short_12: HW6JACKKP3IV · pith_short_16: HW6JACKKP3IV2SUD · pith_short_8: HW6JACKK

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/HW6JACKKP3IV2SUD7VH3EUYXBD \
  | 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: 3dbc90094a7ed15d4a83fd4fb2531708c6d227c36dea777dc0ba646b24a411db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69c111c391bdb89415047a994286096252106d7fbe43688db189cbe73044ff02",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-04T10:33:11Z",
    "title_canon_sha256": "ceaf78d612c76aaca9163d356bb0087695a1f973ecf3261083f69dc14433ca85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0965",
    "kind": "arxiv",
    "version": 4
  }
}