pith. sign in
Pith Number

pith:3BDTQDLC

pith:2016:3BDTQDLC57YWXY5HKN2FK5TSIU
not attested not anchored not stored refs pending

Dispersion Estimates for Spherical Schr\"odinger Equations: The Effect of Boundary Conditions

Aleksey Kostenko, Gerald Teschl, Markus Holzleitner

arxiv:1601.01638 v2 · 2016-01-07 · math.SP · math-ph · math.AP · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3BDTQDLC57YWXY5HKN2FK5TSIU}

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 2026-05-18T01:00:53.424730Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d847380d62eff16be3a75374557672451980fc0e3a54f95d8caf821dd9c0d792

Aliases

arxiv: 1601.01638 · arxiv_version: 1601.01638v2 · doi: 10.48550/arxiv.1601.01638 · pith_short_12: 3BDTQDLC57YW · pith_short_16: 3BDTQDLC57YWXY5H · pith_short_8: 3BDTQDLC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3BDTQDLC57YWXY5HKN2FK5TSIU \
  | 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: d847380d62eff16be3a75374557672451980fc0e3a54f95d8caf821dd9c0d792
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "15284ece86bb64e0be35defcddb662e0cd6bd215994712408a4b36b5ea10e30c",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-01-07T18:55:34Z",
    "title_canon_sha256": "c248a9e230237c50679bef6ae62030b7019d3091f87171bf4b7c4edff1b43d7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01638",
    "kind": "arxiv",
    "version": 2
  }
}