Pith Number

pith:YT7TUXLN

pith:2015:YT7TUXLNOC6UHKMQU4LAYUDUPA

not attested not anchored not stored refs pending

Strictly positive definite kernels on a product of circles

A. P. Peron, J. C. Guella, V. A. Menegatto

arxiv:1505.01169 v1 · 2015-05-05 · 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{YT7TUXLNOC6UHKMQU4LAYUDUPA}

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	2026-05-18T00:05:09.844612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4ff3a5d6d70bd43a990a7160c5074781c4b576c922c562a2c8d9b85dd8ea93e

Aliases

arxiv: 1505.01169 · arxiv_version: 1505.01169v1 · doi: 10.48550/arxiv.1505.01169 · pith_short_12: YT7TUXLNOC6U · pith_short_16: YT7TUXLNOC6UHKMQ · pith_short_8: YT7TUXLN

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/YT7TUXLNOC6UHKMQU4LAYUDUPA \
  | 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: c4ff3a5d6d70bd43a990a7160c5074781c4b576c922c562a2c8d9b85dd8ea93e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d687020b466d3df7e67165cfb84a5f2953aacb1823fb4bbfe6245db9bdf1e51c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-05T20:02:02Z",
    "title_canon_sha256": "d536e56e8e9d92759bb95d69b9db11f6d4ea1b3473f62ee13685393d2a196e1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01169",
    "kind": "arxiv",
    "version": 1
  }
}