Pith Number

pith:HVKGYB25

pith:2011:HVKGYB252L3XL4FS5SMTLOZ6UN

not attested not anchored not stored refs pending

On the essential spectrum of magnetic Schroedinger operators in exterior domains

A. Kachmar, M. Persson

arxiv:1109.0625 v1 · 2011-09-03 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HVKGYB252L3XL4FS5SMTLOZ6UN}

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	2026-05-18T04:14:07.203876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d546c075dd2f775f0b2ec9935bb3ea37aef739299bc317a2ed2e3d62cb1fff6

Aliases

arxiv: 1109.0625 · arxiv_version: 1109.0625v1 · doi: 10.48550/arxiv.1109.0625 · pith_short_12: HVKGYB252L3X · pith_short_16: HVKGYB252L3XL4FS · pith_short_8: HVKGYB25

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/HVKGYB252L3XL4FS5SMTLOZ6UN \
  | 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: 3d546c075dd2f775f0b2ec9935bb3ea37aef739299bc317a2ed2e3d62cb1fff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9932dbd2797bd4e38cf601421aa49350bac18026755450d57dccf1b73f8d0205",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-09-03T15:12:24Z",
    "title_canon_sha256": "87c1a50c0dc071c3d946720ecf92d6b6e10b6bb7aeeecf1f696353f747acaf64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0625",
    "kind": "arxiv",
    "version": 1
  }
}