Pith Number

pith:CAWHR72Q

pith:2010:CAWHR72QFFPNKPS6AAPJX4BKIN

not attested not anchored not stored refs pending

An eigenvalue estimate and its application to non-selfadjoint Jacobi and Schr\"odinger operators

Marcel Hansmann

arxiv:1006.5308 v1 · 2010-06-28 · math.SP · 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{CAWHR72QFFPNKPS6AAPJX4BKIN}

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	2026-05-18T04:12:55.031700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

102c78ff50295ed53e5e001e9bf02a4351136322e4e0d485115691208c1a276b

Aliases

arxiv: 1006.5308 · arxiv_version: 1006.5308v1 · doi: 10.48550/arxiv.1006.5308 · pith_short_12: CAWHR72QFFPN · pith_short_16: CAWHR72QFFPNKPS6 · pith_short_8: CAWHR72Q

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/CAWHR72QFFPNKPS6AAPJX4BKIN \
  | 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: 102c78ff50295ed53e5e001e9bf02a4351136322e4e0d485115691208c1a276b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13e0edfbbc3637a7260bedc949378689048e74543b013ea6354a02ca6bb9af1d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-06-28T10:22:24Z",
    "title_canon_sha256": "141730d2b824fe7cf7b47c526212c0da9bacf4680e33b7dec6cbcf278297eb9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5308",
    "kind": "arxiv",
    "version": 1
  }
}