Pith Number

pith:QVJUGV6F

pith:2018:QVJUGV6FWIVIL5FTQKXQD7PTV5

not attested not anchored not stored refs pending

Inverse continuity of the numerical range map for Hilbert space operators

Brian Lins, Ilya Spitkovsky

arxiv:1810.04199 v1 · 2018-10-09 · 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{QVJUGV6FWIVIL5FTQKXQD7PTV5}

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	2026-05-18T00:03:40.833410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85534357c5b22a85f4b382af01fdf3af4f4e30d9e1f6f2b9add77da179d2d75a

Aliases

arxiv: 1810.04199 · arxiv_version: 1810.04199v1 · doi: 10.48550/arxiv.1810.04199 · pith_short_12: QVJUGV6FWIVI · pith_short_16: QVJUGV6FWIVIL5FT · pith_short_8: QVJUGV6F

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/QVJUGV6FWIVIL5FTQKXQD7PTV5 \
  | 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: 85534357c5b22a85f4b382af01fdf3af4f4e30d9e1f6f2b9add77da179d2d75a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce4ee651b39ccdf151aa37237ad15b3281c464597c931535bfc3dde31b48f22d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-10-09T18:23:43Z",
    "title_canon_sha256": "a5f6c66c47fa045bacf56b6c2d16dab0da4f161fbb5fb454f9272e10e8014641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04199",
    "kind": "arxiv",
    "version": 1
  }
}