Pith Number

pith:LQ2XFUXE

pith:2010:LQ2XFUXEDJEEC3FOLSJWU6ZZAU

not attested not anchored not stored refs pending

Symmetry preserving self-adjoint extensions of Schr\"odinger operators with singular potentials

A.G. Smirnov, B.L. Voronov, D.M. Gitman, I.V. Tyutin

arxiv:1012.2588 v1 · 2010-12-12 · 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{LQ2XFUXEDJEEC3FOLSJWU6ZZAU}

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	2026-05-18T04:33:28.261796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c3572d2e41a48416cae5c936a7b390526c6bc2e26d3bc684a333829ba5aee05

Aliases

arxiv: 1012.2588 · arxiv_version: 1012.2588v1 · doi: 10.48550/arxiv.1012.2588 · pith_short_12: LQ2XFUXEDJEE · pith_short_16: LQ2XFUXEDJEEC3FO · pith_short_8: LQ2XFUXE

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/LQ2XFUXEDJEEC3FOLSJWU6ZZAU \
  | 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: 5c3572d2e41a48416cae5c936a7b390526c6bc2e26d3bc684a333829ba5aee05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "909046e6e6a32eee0eaf1f0ad1308a792d1a8988c5e8e24c3dc42f08af6811b0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-12T21:03:38Z",
    "title_canon_sha256": "a98ab4b15a0a1cd0389d76c3f04e89a3451fcf926e977f97ecbf20b2117d27cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2588",
    "kind": "arxiv",
    "version": 1
  }
}