Pith Number

pith:SHB36IQL

pith:2015:SHB36IQLVKNK7KHBHDTJZ7YC54

not attested not anchored not stored refs pending

Growth Estimates for the Numerical Range of Holomorphic Mappings and Applications

David Shoikhet, Filippo Bracci, Marina Levenshtein, Simeon Reich

arxiv:1502.07896 v3 · 2015-02-27 · 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{SHB36IQLVKNK7KHBHDTJZ7YC54}

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	2026-05-18T01:27:15.203700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91c3bf220baa9aafa8e138e69cff02ef2bac035ded84e2be82c9fd0438ad9f29

Aliases

arxiv: 1502.07896 · arxiv_version: 1502.07896v3 · doi: 10.48550/arxiv.1502.07896 · pith_short_12: SHB36IQLVKNK · pith_short_16: SHB36IQLVKNK7KHB · pith_short_8: SHB36IQL

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/SHB36IQLVKNK7KHBHDTJZ7YC54 \
  | 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: 91c3bf220baa9aafa8e138e69cff02ef2bac035ded84e2be82c9fd0438ad9f29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aa4f5bf60e8b21cfedeaa67acff599d87f8af9a486734ee5db4aeed70bf7c35",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-02-27T13:45:31Z",
    "title_canon_sha256": "75d500b67012efd713f2187e6a112f41077c6048746a62a946fef7c05075026a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07896",
    "kind": "arxiv",
    "version": 3
  }
}