Pith Number

pith:H56Z3HIX

pith:2016:H56Z3HIXMXLEKC7E36RCBHJCMU

not attested not anchored not stored refs pending

Vector orthogonal polynomials with Bochner's property

Emil Horozov

arxiv:1609.06151 v2 · 2016-09-20 · math.CA · math-ph · math.MP · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H56Z3HIXMXLEKC7E36RCBHJCMU}

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	2026-05-18T00:33:59.840436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f7d9d9d1765d6450be4dfa2209d226533d61221b46e9def3840a3a1f2d5e44e

Aliases

arxiv: 1609.06151 · arxiv_version: 1609.06151v2 · doi: 10.48550/arxiv.1609.06151 · pith_short_12: H56Z3HIXMXLE · pith_short_16: H56Z3HIXMXLEKC7E · pith_short_8: H56Z3HIX

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/H56Z3HIXMXLEKC7E36RCBHJCMU \
  | 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: 3f7d9d9d1765d6450be4dfa2209d226533d61221b46e9def3840a3a1f2d5e44e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3e15ac1ad2e28564cbd4ab3f226a7e10035860088851edff749984730fba5a8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-20T13:19:06Z",
    "title_canon_sha256": "7a62618ecd3fcc13bf9a9919e653afb538b9c01259ea695ab57697262a6d0e47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06151",
    "kind": "arxiv",
    "version": 2
  }
}