Pith Number

pith:VU6HBW6H

pith:2014:VU6HBW6HKSFT2MYF4ECL7YLBTZ

not attested not anchored not stored refs pending

On the boundary of weighted numerical ranges

Wai-Shun Cheung

arxiv:1403.3479 v3 · 2014-03-14 · 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{VU6HBW6HKSFT2MYF4ECL7YLBTZ}

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	2026-05-18T01:49:56.089848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad3c70dbc7548b3d3305e104bfe1619e54adaea4f9ddb6fbabcbc1aa0a4b8f89

Aliases

arxiv: 1403.3479 · arxiv_version: 1403.3479v3 · doi: 10.48550/arxiv.1403.3479 · pith_short_12: VU6HBW6HKSFT · pith_short_16: VU6HBW6HKSFT2MYF · pith_short_8: VU6HBW6H

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/VU6HBW6HKSFT2MYF4ECL7YLBTZ \
  | 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: ad3c70dbc7548b3d3305e104bfe1619e54adaea4f9ddb6fbabcbc1aa0a4b8f89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f0325c758ffcc9e3e9d8ffa71b2b1d1d599b78a472646d1e8f3318c3af81662",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-03-14T02:46:47Z",
    "title_canon_sha256": "b6d0a4fc0f18933dfcd843594d2ca8104f6de80d338c161d429f7f1edbd7cbff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3479",
    "kind": "arxiv",
    "version": 3
  }
}