Pith Number

pith:K6FHA53A

pith:2017:K6FHA53AVQIO5ZIU6MTL3HUANQ

not attested not anchored not stored refs pending

Enclosure of the Numerical Range and Resolvent Estimates of Non-selfadjoint Operator Functions

Axel Torshage

arxiv:1711.11337 v2 · 2017-11-30 · 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{K6FHA53AVQIO5ZIU6MTL3HUANQ}

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	2026-05-18T00:10:47.177414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

578a707760ac10eee514f326bd9e806c1f394b0160391cbb95c0a10a31c077e3

Aliases

arxiv: 1711.11337 · arxiv_version: 1711.11337v2 · doi: 10.48550/arxiv.1711.11337 · pith_short_12: K6FHA53AVQIO · pith_short_16: K6FHA53AVQIO5ZIU · pith_short_8: K6FHA53A

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/K6FHA53AVQIO5ZIU6MTL3HUANQ \
  | 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: 578a707760ac10eee514f326bd9e806c1f394b0160391cbb95c0a10a31c077e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "713aed5d48188cb6601b3d60facb812577e4858a1463301953eae8665615b9d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-11-30T12:08:57Z",
    "title_canon_sha256": "c3dcb9186566684aacbc7cb0f26b104dc1549ee1b29ea80e5e86884cf2a7e690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11337",
    "kind": "arxiv",
    "version": 2
  }
}