Pith Number

pith:COPSASHV

pith:2014:COPSASHVHKFLQF4QGAAO5V3Z5O

not attested not anchored not stored refs pending

On the completeness of Gaussians in a Hilbert functional space

Victor Katsnelson

arxiv:1406.4946 v1 · 2014-06-19 · 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{COPSASHVHKFLQF4QGAAO5V3Z5O}

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	2026-05-18T02:49:21.432695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

139f2048f53a8ab817903000eed779ebb875efeffa3e40011f728c643c1f3831

Aliases

arxiv: 1406.4946 · arxiv_version: 1406.4946v1 · doi: 10.48550/arxiv.1406.4946 · pith_short_12: COPSASHVHKFL · pith_short_16: COPSASHVHKFLQF4Q · pith_short_8: COPSASHV

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/COPSASHVHKFLQF4QGAAO5V3Z5O \
  | 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: 139f2048f53a8ab817903000eed779ebb875efeffa3e40011f728c643c1f3831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e4a03c5e9517378a4e90b743f1f42443e2618f8c19b0013b3a2513852ee77cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-06-19T04:37:56Z",
    "title_canon_sha256": "8ec980e5b7e1df3e90035cacafcca1901d29049cc90d3faffa059a47e524ceac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4946",
    "kind": "arxiv",
    "version": 1
  }
}