Pith Number

pith:A6E3MG3A

pith:2014:A6E3MG3AIMNVECFGUU4XQ4XWK7

not attested not anchored not stored refs pending

Propagation of polynomial phase space singularities for Schr\"odinger equations with quadratic Hamiltonians

Patrik Wahlberg

arxiv:1411.6518 v4 · 2014-11-24 · 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{A6E3MG3AIMNVECFGUU4XQ4XWK7}

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	2026-05-18T01:18:23.531301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0789b61b60431b5208a6a5397872f657ddd253e61721e343a95b89fa492a6ab0

Aliases

arxiv: 1411.6518 · arxiv_version: 1411.6518v4 · doi: 10.48550/arxiv.1411.6518 · pith_short_12: A6E3MG3AIMNV · pith_short_16: A6E3MG3AIMNVECFG · pith_short_8: A6E3MG3A

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/A6E3MG3AIMNVECFGUU4XQ4XWK7 \
  | 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: 0789b61b60431b5208a6a5397872f657ddd253e61721e343a95b89fa492a6ab0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eea5c34526d3f450db94f50656806d74d544705220cf73d7d25ff62725081781",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-24T16:37:23Z",
    "title_canon_sha256": "9705b7bc448394384339a9f7c4d70a48f42a36fb7ddedbaab13170dd7d0cd3b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6518",
    "kind": "arxiv",
    "version": 4
  }
}