Pith Number

pith:IW4HP5N7

pith:2017:IW4HP5N7XJLZVMHLKP737HFN56

not attested not anchored not stored refs pending

A proof of the Muir-Suffridge conjecture for convex maps of the unit ball in $\mathbb C^n$

Filippo Bracci, Herv\'e Gaussier

arxiv:1701.05836 v2 · 2017-01-20 · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IW4HP5N7XJLZVMHLKP737HFN56}

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	2026-05-18T00:38:09.025178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45b877f5bfba579ab0eb53ffbf9cadef94d7827a957465383e807316890d721b

Aliases

arxiv: 1701.05836 · arxiv_version: 1701.05836v2 · doi: 10.48550/arxiv.1701.05836 · pith_short_12: IW4HP5N7XJLZ · pith_short_16: IW4HP5N7XJLZVMHL · pith_short_8: IW4HP5N7

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/IW4HP5N7XJLZVMHLKP737HFN56 \
  | 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: 45b877f5bfba579ab0eb53ffbf9cadef94d7827a957465383e807316890d721b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8bef64364d05877d232a5f7ed4f5aaa3f1852c5d5ffdfb7c5a6eb1ce6fcc7df",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-01-20T15:56:05Z",
    "title_canon_sha256": "8079f07684ec927d3f67b9f6e996eb0ac30bbef7a92190022b4bf5c0053af657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05836",
    "kind": "arxiv",
    "version": 2
  }
}