Pith Number

pith:FIC72ZCC

pith:2025:FIC72ZCCLZUYSHARAJERWG35V4

not attested not anchored not stored refs pending

The Schwarz lemma for holomorphic and minimal disks at the boundary

David Kalaj

arxiv:2509.09471 v3 · 2025-09-11 · 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{FIC72ZCCLZUYSHARAJERWG35V4}

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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.

Cited by

2 papers in Pith

On the Boundary Schwarz lemma and the rigidity theorem for certain mappings

Some sharp Schwarz type estimates and their applications in Banach spaces

Receipt and verification

First computed	2026-05-26T02:05:01.934869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a05fd64425e69891c1102491b1b7daf02124a68909c4837fa6bec26284139a5

Aliases

arxiv: 2509.09471 · arxiv_version: 2509.09471v3 · doi: 10.48550/arxiv.2509.09471 · pith_short_12: FIC72ZCCLZUY · pith_short_16: FIC72ZCCLZUYSHAR · pith_short_8: FIC72ZCC

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/FIC72ZCCLZUYSHARAJERWG35V4 \
  | 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: 2a05fd64425e69891c1102491b1b7daf02124a68909c4837fa6bec26284139a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07c760dd4a3d61aeb92bfa7f6aac5bae6d903aa193d03b56a0e3d3abcdfa7c76",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-09-11T13:54:12Z",
    "title_canon_sha256": "10d855e385b0c012880c84580100ef4799f8d6fcb504437ce900948b4c07eb22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.09471",
    "kind": "arxiv",
    "version": 3
  }
}