Pith Number

pith:GOXNCXCF

pith:2015:GOXNCXCFGMD5UYCEKSGOLMEOC3

not attested not anchored not stored refs pending

Perturbation determinants in Banach spaces - with an application to eigenvalue estimates for perturbed operators

Marcel Hansmann

arxiv:1507.06816 v2 · 2015-07-24 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GOXNCXCFGMD5UYCEKSGOLMEOC3}

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	2026-05-18T01:04:53.988495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33aed15c453307da6044548ce5b08e16d9ed3f37c6a7d213bcb186923fe79938

Aliases

arxiv: 1507.06816 · arxiv_version: 1507.06816v2 · doi: 10.48550/arxiv.1507.06816 · pith_short_12: GOXNCXCFGMD5 · pith_short_16: GOXNCXCFGMD5UYCE · pith_short_8: GOXNCXCF

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/GOXNCXCFGMD5UYCEKSGOLMEOC3 \
  | 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: 33aed15c453307da6044548ce5b08e16d9ed3f37c6a7d213bcb186923fe79938

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de82ba5ab24379bcf8de1c4b7b5099e305ce756f05dec7041ac9f99c57f2042b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-07-24T12:04:13Z",
    "title_canon_sha256": "0e4ebd3aea8afe9bbd64b44a1800fcd959dea373a5dfdf33f380fad5ccbe9fc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06816",
    "kind": "arxiv",
    "version": 2
  }
}