Pith Number

pith:B3ZNM2CS

pith:2020:B3ZNM2CSECXAWPRVPAXTSSFSXJ

not attested not anchored not stored refs pending

Convexity of the orbit-closed $C$-numerical range and majorization

Jireh Loreaux, Sasmita Patnaik

arxiv:2009.01300 v1 · 2020-09-02 · 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{B3ZNM2CSECXAWPRVPAXTSSFSXJ}

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	2026-07-05T02:58:04.398326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ef2d6685220ae0b3e35782f3948b2ba73dc20eb0674847f63656129146cf2fb

Aliases

arxiv: 2009.01300 · arxiv_version: 2009.01300v1 · doi: 10.48550/arxiv.2009.01300 · pith_short_12: B3ZNM2CSECXA · pith_short_16: B3ZNM2CSECXAWPRV · pith_short_8: B3ZNM2CS

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/B3ZNM2CSECXAWPRVPAXTSSFSXJ \
  | 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: 0ef2d6685220ae0b3e35782f3948b2ba73dc20eb0674847f63656129146cf2fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d38dab4f92df3b4459d1f7363da4575d49838884503f64c801851c835fb204da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-09-02T18:55:20Z",
    "title_canon_sha256": "dd26766e58673e676a20140d610ea8970409b4c341aa0d3ae81a976b3b3606a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.01300",
    "kind": "arxiv",
    "version": 1
  }
}