Pith Number

pith:32B7JPXE

pith:2019:32B7JPXESDCKXWDRYVQ3VLSPYD

not attested not anchored not stored refs pending

On a property of random walk polynomials involving Christoffel functions

Erik A. van Doorn, Ryszard Szwarc

arxiv:1903.00054 v1 · 2019-02-28 · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32B7JPXESDCKXWDRYVQ3VLSPYD}

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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	2026-05-17T23:46:18.444681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de83f4bee490c4abd871c561baae4fc0f547e6ee1597692f9e61ea165a08fa5d

Aliases

arxiv: 1903.00054 · arxiv_version: 1903.00054v1 · doi: 10.48550/arxiv.1903.00054 · pith_short_12: 32B7JPXESDCK · pith_short_16: 32B7JPXESDCKXWDR · pith_short_8: 32B7JPXE

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/32B7JPXESDCKXWDRYVQ3VLSPYD \
  | 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: de83f4bee490c4abd871c561baae4fc0f547e6ee1597692f9e61ea165a08fa5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6867323954789d438f7e06bba04ce8ac0b7d578e283a8da92028afafa942056b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-02-28T20:15:15Z",
    "title_canon_sha256": "9012a95d8f9793b756be2923a559d8706b69c7b9b798c56c078091288f4cbd50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.00054",
    "kind": "arxiv",
    "version": 1
  }
}