Pith Number

pith:5PPVYEIE

pith:2015:5PPVYEIEWI4ZADWASIG7N66DT2

not attested not anchored not stored refs pending

A multidimensional Borg-Levinson theorem for magnetic Schr\"odinger operators with partial spectral data

Yavar Kian

arxiv:1504.04514 v4 · 2015-04-17 · 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{5PPVYEIEWI4ZADWASIG7N66DT2}

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	2026-05-18T01:02:28.972910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebdf5c1104b239900ec0920df6fbc39e9f25f648820330ec85c85a45712f2b1b

Aliases

arxiv: 1504.04514 · arxiv_version: 1504.04514v4 · doi: 10.48550/arxiv.1504.04514 · pith_short_12: 5PPVYEIEWI4Z · pith_short_16: 5PPVYEIEWI4ZADWA · pith_short_8: 5PPVYEIE

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/5PPVYEIEWI4ZADWASIG7N66DT2 \
  | 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: ebdf5c1104b239900ec0920df6fbc39e9f25f648820330ec85c85a45712f2b1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5285ddc9c35fd6d95f8459d51906d828094aed1d71c8e3d0a27b711952ceb5ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-17T14:41:32Z",
    "title_canon_sha256": "1953dbd90c6ae7637f8fd95b57567cbd611a2d11bdeff23c177f6d70af55bcee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04514",
    "kind": "arxiv",
    "version": 4
  }
}