Pith Number

pith:LEUXCPRS

pith:2019:LEUXCPRSCRW2BBLMBWHUXDZUEO

not attested not anchored not stored refs pending

Ultraholomorphic extension theorems in the mixed setting

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

arxiv:1908.06184 v1 · 2019-08-16 · math.CV · 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{LEUXCPRSCRW2BBLMBWHUXDZUEO}

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	2026-07-05T05:28:40.253689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5929713e32146da0856c0d8f4b8f34238719d96db55a621c62ce3add55ed9e26

Aliases

arxiv: 1908.06184 · arxiv_version: 1908.06184v1 · doi: 10.48550/arxiv.1908.06184 · pith_short_12: LEUXCPRSCRW2 · pith_short_16: LEUXCPRSCRW2BBLM · pith_short_8: LEUXCPRS

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/LEUXCPRSCRW2BBLMBWHUXDZUEO \
  | 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: 5929713e32146da0856c0d8f4b8f34238719d96db55a621c62ce3add55ed9e26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c807aff8e0018119b4a1d2f091eb2ba82c4067d56216f763d62a78555664d2f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-08-16T21:27:52Z",
    "title_canon_sha256": "35429a4e833bf0f15c9f8f19a6e23f3a7fefb01c9c4a97fb5d5fda0a9eb92230"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06184",
    "kind": "arxiv",
    "version": 1
  }
}