Pith Number

pith:C4BCMRAD

pith:2018:C4BCMRADIQAD4GJ4IU5FEPPDGQ

not attested not anchored not stored refs pending

Relations between Schoenberg Coefficients on Real and Complex Spheres of Different Dimensions

Emilio Porcu, Pier Giovanni Bissiri, Valdir A. Menegatto

arxiv:1807.08184 v3 · 2018-07-21 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C4BCMRADIQAD4GJ4IU5FEPPDGQ}

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	2026-05-17T23:55:42.700555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

170226440344003e193c453a523de33434de430988a27ce493b239c7c11728f0

Aliases

arxiv: 1807.08184 · arxiv_version: 1807.08184v3 · doi: 10.48550/arxiv.1807.08184 · pith_short_12: C4BCMRADIQAD · pith_short_16: C4BCMRADIQAD4GJ4 · pith_short_8: C4BCMRAD

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/C4BCMRADIQAD4GJ4IU5FEPPDGQ \
  | 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: 170226440344003e193c453a523de33434de430988a27ce493b239c7c11728f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "869e6854a85aa6850ec8ed0a706c645b72e3b8b36f8a95541bf80ab3c56c2d39",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-07-21T17:44:53Z",
    "title_canon_sha256": "a0139a882bd0fb6432092e75633402838e142178e6cd7672ea98aba14630f6b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08184",
    "kind": "arxiv",
    "version": 3
  }
}