Pith Number

pith:GNWNBV5J

pith:2014:GNWNBV5J3KYTQNGRAPR6ELJ7WZ

not attested not anchored not stored refs pending

On non-round points of the boundary of the numerical range and an application to non-selfadjoint Schr\"odinger operators

Marcel Hansmann

arxiv:1404.3960 v2 · 2014-04-15 · math.SP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNWNBV5J3KYTQNGRAPR6ELJ7WZ}

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	2026-05-18T01:25:18.526952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

336cd0d7a9dab13834d103e3e22d3fb65ffb1a8bf5730c650acb7635086880d9

Aliases

arxiv: 1404.3960 · arxiv_version: 1404.3960v2 · doi: 10.48550/arxiv.1404.3960 · pith_short_12: GNWNBV5J3KYT · pith_short_16: GNWNBV5J3KYTQNGR · pith_short_8: GNWNBV5J

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/GNWNBV5J3KYTQNGRAPR6ELJ7WZ \
  | 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: 336cd0d7a9dab13834d103e3e22d3fb65ffb1a8bf5730c650acb7635086880d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9d73f2eabcdba8d095c3828d91456886a2fc5037ee55a0e08a83cb83bb89686",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-04-15T15:42:30Z",
    "title_canon_sha256": "e5810a0ae601ffe3cd60d87d9cc065fe7885d88ef6a7db96594293d32fc64a57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3960",
    "kind": "arxiv",
    "version": 2
  }
}