Pith Number

pith:3MB5IQWX

pith:2011:3MB5IQWXYFBJJPC3VPS6ADWTGY

not attested not anchored not stored refs pending

On the similarity of Sturm-Liouville operators with non-Hermitian boundary conditions to self-adjoint and normal operators

D. Krejcirik, J. Zelezny, P. Siegl

arxiv:1108.4946 v1 · 2011-08-24 · math.SP · math-ph · math.FA · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MB5IQWXYFBJJPC3VPS6ADWTGY}

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	2026-05-18T02:50:01.119753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db03d442d7c14294bc5babe5e00ed33622d2bd9ff57e3ad2127e1068a193f694

Aliases

arxiv: 1108.4946 · arxiv_version: 1108.4946v1 · doi: 10.48550/arxiv.1108.4946 · pith_short_12: 3MB5IQWXYFBJ · pith_short_16: 3MB5IQWXYFBJJPC3 · pith_short_8: 3MB5IQWX

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/3MB5IQWXYFBJJPC3VPS6ADWTGY \
  | 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: db03d442d7c14294bc5babe5e00ed33622d2bd9ff57e3ad2127e1068a193f694

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "598882d9b2c594603b85da76309e729fa1a81847c347b073342021322f66df6a",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-08-24T20:33:21Z",
    "title_canon_sha256": "a1d42425104a388bf670959d32e30e514d49b7c0229e5321039cc36e1b6ac679"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4946",
    "kind": "arxiv",
    "version": 1
  }
}