Pith Number

pith:SQWNW7K4

pith:2011:SQWNW7K4OXZ7UA3H5BD2S2I7MZ

not attested not anchored not stored refs pending

On negative eigenvalues of low-dimensional Schr\"{o}dinger operators

B. Vainberg, S. Molchanov

arxiv:1105.0937 v2 · 2011-05-04 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SQWNW7K4OXZ7UA3H5BD2S2I7MZ}

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	2026-05-18T04:22:02.000895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

942cdb7d5c75f3fa0367e847a9691f664c998e149c32585abb90f247c827102d

Aliases

arxiv: 1105.0937 · arxiv_version: 1105.0937v2 · doi: 10.48550/arxiv.1105.0937 · pith_short_12: SQWNW7K4OXZ7 · pith_short_16: SQWNW7K4OXZ7UA3H · pith_short_8: SQWNW7K4

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/SQWNW7K4OXZ7UA3H5BD2S2I7MZ \
  | 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: 942cdb7d5c75f3fa0367e847a9691f664c998e149c32585abb90f247c827102d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c762ac4fa1eda601b142d735d8a1b102222b3f03009cb1aa7b750d5b8f7d7d8c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-05-04T20:35:49Z",
    "title_canon_sha256": "75a5de8a411f26fa41fa09c7ca1fa7fbd4ec2a0c200603918dc0d7ac68e0ae4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0937",
    "kind": "arxiv",
    "version": 2
  }
}