Pith Number

pith:IQJTDIK6

pith:2015:IQJTDIK6MH6ZI3VK4HFWUB4D7N

not attested not anchored not stored refs pending

Analytically Riesz operators and Weyl and Browder type theorems

Enrico Boasso

arxiv:1507.05445 v1 · 2015-07-20 · 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{IQJTDIK6MH6ZI3VK4HFWUB4D7N}

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	2026-05-18T01:36:36.796626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

441331a15e61fd946eaae1cb6a0783fb711857a1e8f3fd6ca4c40e2ba670533a

Aliases

arxiv: 1507.05445 · arxiv_version: 1507.05445v1 · doi: 10.48550/arxiv.1507.05445 · pith_short_12: IQJTDIK6MH6Z · pith_short_16: IQJTDIK6MH6ZI3VK · pith_short_8: IQJTDIK6

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/IQJTDIK6MH6ZI3VK4HFWUB4D7N \
  | 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: 441331a15e61fd946eaae1cb6a0783fb711857a1e8f3fd6ca4c40e2ba670533a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e49198c784dbf869f5ad155f79c76a2e6f82e32005cd5eee99383c13f5ee2e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-20T11:00:32Z",
    "title_canon_sha256": "5a3eef4f7ba5e68266521e68641cb52f6baa27e65eb43367aa04eb367dc35058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05445",
    "kind": "arxiv",
    "version": 1
  }
}