Pith Number

pith:OU3LHH6H

pith:2018:OU3LHH6HPVWVK3KGUT5UAL2F3D

not attested not anchored not stored refs pending

Strictly Positive Definite Functions on Compact Two-Point Homogeneous Spaces: the Product Alternative

Jean C. Guella, Rafaela N. Bonfim, Valdir A. Menegatto

arxiv:1803.03105 v2 · 2018-02-22 · 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{OU3LHH6HPVWVK3KGUT5UAL2F3D}

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	2026-05-18T00:03:17.031071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7536b39fc77d6d556d46a4fb402f45d8ee0c801874741f27e9f55d1bf74bcadc

Aliases

arxiv: 1803.03105 · arxiv_version: 1803.03105v2 · doi: 10.48550/arxiv.1803.03105 · pith_short_12: OU3LHH6HPVWV · pith_short_16: OU3LHH6HPVWVK3KG · pith_short_8: OU3LHH6H

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/OU3LHH6HPVWVK3KGUT5UAL2F3D \
  | 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: 7536b39fc77d6d556d46a4fb402f45d8ee0c801874741f27e9f55d1bf74bcadc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48efff241022477182543b44fbc6a0b69628b3354dac5cc077d08b256f3efb94",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-02-22T10:41:13Z",
    "title_canon_sha256": "fe8400f17ef55b890eb72feb7e3184da97f5aa4f0f54d2f0cd760f134b9cef35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03105",
    "kind": "arxiv",
    "version": 2
  }
}