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Pith Number

pith:WKRMI5BI

pith:2013:WKRMI5BIJYLBD4SCJ22SWALXJG
not attested not anchored not stored refs pending

Cyclicity in Dirichlet-type spaces and extremal polynomials

Alan Sola, Alberto Condori, Catherine B\'en\'eteau, Constanze Liaw, Daniel Seco

arxiv:1301.4375 v2 · 2013-01-18 · math.CA · math.CV · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WKRMI5BIJYLBD4SCJ22SWALXJG}

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 2026-05-18T01:37:29.028914Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b2a2c474284e1611f2424eb52b01774995fc38190d5aa92f58e57e2d5d6ac1bb

Aliases

arxiv: 1301.4375 · arxiv_version: 1301.4375v2 · doi: 10.48550/arxiv.1301.4375 · pith_short_12: WKRMI5BIJYLB · pith_short_16: WKRMI5BIJYLBD4SC · pith_short_8: WKRMI5BI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WKRMI5BIJYLBD4SCJ22SWALXJG \
  | 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: b2a2c474284e1611f2424eb52b01774995fc38190d5aa92f58e57e2d5d6ac1bb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f4f8c0ff7385be4932b779516ea05586ed7fb334148fd41cebcea05f9af386bb",
    "cross_cats_sorted": [
      "math.CV",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-01-18T13:20:05Z",
    "title_canon_sha256": "720543fb51fb2221738f4b0ed86afbc1c67f97f016b1a4348dce5119e14c794b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4375",
    "kind": "arxiv",
    "version": 2
  }
}