Pith Number

pith:OPNQR2NB

pith:2003:OPNQR2NBNYYTEDBUNWUBAPGUDS

not attested not anchored not stored refs pending

On pointwise estimates of positive definite functions with given support

Mihail N. Kolountzakis, Szilard Gy. Revesz

arxiv:math/0302193 v1 · 2003-02-17 · 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{OPNQR2NBNYYTEDBUNWUBAPGUDS}

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	2026-05-18T01:05:29.074903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73db08e9a16e31320c346da8103cd41ca41be506d3c172bd6a06b8d229598216

Aliases

arxiv: math/0302193 · arxiv_version: math/0302193v1 · doi: 10.48550/arxiv.math/0302193 · pith_short_12: OPNQR2NBNYYT · pith_short_16: OPNQR2NBNYYTEDBU · pith_short_8: OPNQR2NB

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/OPNQR2NBNYYTEDBUNWUBAPGUDS \
  | 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: 73db08e9a16e31320c346da8103cd41ca41be506d3c172bd6a06b8d229598216

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f1e7a9b5213caf52c937677e67b3ef1aad4e77b09debdb1dc1c5a8fbf6855ad",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2003-02-17T19:20:03Z",
    "title_canon_sha256": "1834ab13237b7f2e67debe5a6d4f9d29cb0a8a4668aff19adde2c7947754ebd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0302193",
    "kind": "arxiv",
    "version": 1
  }
}