Pith Number

pith:5HQY3ZT2

pith:2014:5HQY3ZT24FNSX3JBUHMOMDJDFZ

not attested not anchored not stored refs pending

Estimating the number of eigenvalues of linear operators on Banach spaces

Franz Hanauska, Guy Katriel, Marcel Hansmann, Michael Demuth

arxiv:1409.8569 v1 · 2014-09-30 · 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{5HQY3ZT24FNSX3JBUHMOMDJDFZ}

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	2026-05-18T02:29:52.786294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9e18de67ae15b2bed21a1d8e60d232e7831fff79e5595a59e90b7770a4f3f94

Aliases

arxiv: 1409.8569 · arxiv_version: 1409.8569v1 · doi: 10.48550/arxiv.1409.8569 · pith_short_12: 5HQY3ZT24FNS · pith_short_16: 5HQY3ZT24FNSX3JB · pith_short_8: 5HQY3ZT2

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/5HQY3ZT24FNSX3JBUHMOMDJDFZ \
  | 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: e9e18de67ae15b2bed21a1d8e60d232e7831fff79e5595a59e90b7770a4f3f94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "333c41cf5ef771768da9c2326339004669bbe125232f6e1dfe21222edb30b311",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-09-30T14:41:55Z",
    "title_canon_sha256": "756f4a4d6fb493b2f02a2ff032ab1e17924868206006f712b69d6ddc8911ecf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8569",
    "kind": "arxiv",
    "version": 1
  }
}