Pith Number

pith:Z2DQ6Y7O

pith:2017:Z2DQ6Y7OPYOSNPJZMIKFUXPP5O

not attested not anchored not stored refs pending

A generalization of Schur functions: applications to Nevanlinna functions, orthogonal polynomials, random walks and unitary and open quantum walks

F. Alberto Gr\"unbaum, Luis Vel\'azquez

arxiv:1702.04032 v2 · 2017-02-14 · math.FA · math.CA · math.PR · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2DQ6Y7OPYOSNPJZMIKFUXPP5O}

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	2026-05-18T00:50:13.344704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce870f63ee7e1d26bd3962145a5defeba83cbcec92f44eb73a563d9297d82a21

Aliases

arxiv: 1702.04032 · arxiv_version: 1702.04032v2 · doi: 10.48550/arxiv.1702.04032 · pith_short_12: Z2DQ6Y7OPYOS · pith_short_16: Z2DQ6Y7OPYOSNPJZ · pith_short_8: Z2DQ6Y7O

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/Z2DQ6Y7OPYOSNPJZMIKFUXPP5O \
  | 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: ce870f63ee7e1d26bd3962145a5defeba83cbcec92f44eb73a563d9297d82a21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0960ff2a580378c0e70dcebfb2ca29d309fb450a8430713af4242b780bcb056",
    "cross_cats_sorted": [
      "math.CA",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-14T00:36:50Z",
    "title_canon_sha256": "c39ffb2ff68a69eb4f78e67364eba3c508ad1faab849ff2d591902eb169b784b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04032",
    "kind": "arxiv",
    "version": 2
  }
}