pith. sign in
Pith Number

pith:WZDDYUEO

pith:2013:WZDDYUEOEIA7JQCG7EXR4Q4RWG
not attested not anchored not stored refs pending

Continuity properties of vectors realizing points in the classical field of values

Brian Lins, Charles R. Johnson, Dan Corey, Ilya Spitkovsky, Ryan Kirk

arxiv:1307.5033 v1 · 2013-07-18 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WZDDYUEOEIA7JQCG7EXR4Q4RWG}

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 2026-05-18T03:18:06.874515Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b6463c508e2201f4c046f92f1e4391b1ba7fc36c66c581ffdb9205382549a517

Aliases

arxiv: 1307.5033 · arxiv_version: 1307.5033v1 · doi: 10.48550/arxiv.1307.5033 · pith_short_12: WZDDYUEOEIA7 · pith_short_16: WZDDYUEOEIA7JQCG · pith_short_8: WZDDYUEO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WZDDYUEOEIA7JQCG7EXR4Q4RWG \
  | 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: b6463c508e2201f4c046f92f1e4391b1ba7fc36c66c581ffdb9205382549a517
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "966835c8e3f58ac351b41dd6d2d95e05ba3926c99d55e7165eaf5d712f9cbd1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-18T18:27:10Z",
    "title_canon_sha256": "e7c868ec615669be593aaaa824de7c4dcd1d5d88ad303503a41e1e2d7e038121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5033",
    "kind": "arxiv",
    "version": 1
  }
}