Pith Number

pith:4MKMGN36

pith:2017:4MKMGN36EZNGQOXO37PICTNOCP

not attested not anchored not stored refs pending

Convexity and Star-shapedness of Matricial Range

Chi-Kwong Li, Nung-sing Sze, Pan-Shun Lau, Yiu-Tung Poon

arxiv:1710.09555 v3 · 2017-10-26 · 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{4MKMGN36EZNGQOXO37PICTNOCP}

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	2026-05-18T00:19:16.913190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e314c3377e265a683aeedfde814dae13c43dee2de5913126463eb8cdfa5ae69a

Aliases

arxiv: 1710.09555 · arxiv_version: 1710.09555v3 · doi: 10.48550/arxiv.1710.09555 · pith_short_12: 4MKMGN36EZNG · pith_short_16: 4MKMGN36EZNGQOXO · pith_short_8: 4MKMGN36

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/4MKMGN36EZNGQOXO37PICTNOCP \
  | 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: e314c3377e265a683aeedfde814dae13c43dee2de5913126463eb8cdfa5ae69a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39d6e8a798a279b275778ca2ba99d1698412b335f0650912271c543bcb78cf3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-10-26T06:14:21Z",
    "title_canon_sha256": "54c991f0b82c6597a09988f7468b7626fc3233d0baf6bcd7051adb020558f088"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09555",
    "kind": "arxiv",
    "version": 3
  }
}