Pith Number

pith:LJKCVPYT

pith:2010:LJKCVPYTPU34HAU6PDYLUWYZBR

not attested not anchored not stored refs pending

Separate holomorphic extension along lines and holomorphic extension from the sphere to the ball

L. Baracco

arxiv:1003.4705 v2 · 2010-03-24 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJKCVPYTPU34HAU6PDYLUWYZBR}

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	2026-05-18T04:32:19.438563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a542abf137d37c3829e78f0ba5b190c58f7eb27ae722f661d45ed6fb17ad200

Aliases

arxiv: 1003.4705 · arxiv_version: 1003.4705v2 · doi: 10.48550/arxiv.1003.4705 · pith_short_12: LJKCVPYTPU34 · pith_short_16: LJKCVPYTPU34HAU6 · pith_short_8: LJKCVPYT

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/LJKCVPYTPU34HAU6PDYLUWYZBR \
  | 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: 5a542abf137d37c3829e78f0ba5b190c58f7eb27ae722f661d45ed6fb17ad200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d9800a219cde83341b4c8ad2387dbebba3ec29ccad73b6fd1081dd0e6bcf5e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-03-24T17:58:55Z",
    "title_canon_sha256": "69dac7f55455fd9ab7e74c15bc2fba7e7b181cd7fa5cd7f9ecc7544fe3a35cb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4705",
    "kind": "arxiv",
    "version": 2
  }
}