Pith Number

pith:P4YUW5O5

pith:2014:P4YUW5O5A77K3PT7ZPPNJHZ3TM

not attested not anchored not stored refs pending

Propagation of Gabor singularities for Schr\"odinger equations with quadratic Hamiltonians

Karel Pravda-Starov, Luigi Rodino, Patrik Wahlberg

arxiv:1411.0251 v6 · 2014-11-02 · 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{P4YUW5O5A77K3PT7ZPPNJHZ3TM}

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	2026-05-18T01:03:53.478637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f314b75dd07feadbe7fcbded49f3b9b2a3232e681f0cf3ffe3ad77d1ace3007

Aliases

arxiv: 1411.0251 · arxiv_version: 1411.0251v6 · doi: 10.48550/arxiv.1411.0251 · pith_short_12: P4YUW5O5A77K · pith_short_16: P4YUW5O5A77K3PT7 · pith_short_8: P4YUW5O5

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/P4YUW5O5A77K3PT7ZPPNJHZ3TM \
  | 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: 7f314b75dd07feadbe7fcbded49f3b9b2a3232e681f0cf3ffe3ad77d1ace3007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80e44c2061ce2838515595dad10c948056526aa3de055c4b08cbedd005da1dc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-02T12:50:38Z",
    "title_canon_sha256": "fa291ab0d5d3f3d35d473c2432d954cb14e92d5e464152b6256543f738a88563"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0251",
    "kind": "arxiv",
    "version": 6
  }
}