Pith Number

pith:VH2BLD5D

pith:2018:VH2BLD5DYMVJVQ6HWW2LXHQVFM

not attested not anchored not stored refs pending

Sectorial extensions for ultraholomorphic classes defined by weight functions

Gerhard Schindl, Javier Jim\'enez-Garrido, Javier Sanz

arxiv:1805.09685 v1 · 2018-05-24 · 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{VH2BLD5DYMVJVQ6HWW2LXHQVFM}

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	2026-05-18T00:15:03.144779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9f4158fa3c32a9ac3c7b5b4bb9e152b1eed231a68bc9f9afe068497873ec4b0

Aliases

arxiv: 1805.09685 · arxiv_version: 1805.09685v1 · doi: 10.48550/arxiv.1805.09685 · pith_short_12: VH2BLD5DYMVJ · pith_short_16: VH2BLD5DYMVJVQ6H · pith_short_8: VH2BLD5D

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/VH2BLD5DYMVJVQ6HWW2LXHQVFM \
  | 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: a9f4158fa3c32a9ac3c7b5b4bb9e152b1eed231a68bc9f9afe068497873ec4b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "542e6ceb901d9c37a035d687418c411ddf0c598b0dbe354d82aede5229e8aa0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-05-24T14:04:00Z",
    "title_canon_sha256": "71e39e73c314607574bd3edbaee48e127a8cc5c24dfbddaddb7fa7d83e3753e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09685",
    "kind": "arxiv",
    "version": 1
  }
}