Pith Number

pith:PPSF65TT

pith:2013:PPSF65TTNKBEB6SEOTEKQJ3OQY

not attested not anchored not stored refs pending

Non-local approximation of continuous functions using scattered translates of the general multiquadric $(x^2+c^2)^{k-1/2}$

Jeff Ledford

arxiv:1306.6398 v1 · 2013-06-27 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPSF65TTNKBEB6SEOTEKQJ3OQY}

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	2026-05-18T03:19:44.892397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7be45f76736a8240fa4474c8a8276e860c7c73ee05b66a54eb3359c0fc3a4a1b

Aliases

arxiv: 1306.6398 · arxiv_version: 1306.6398v1 · doi: 10.48550/arxiv.1306.6398 · pith_short_12: PPSF65TTNKBE · pith_short_16: PPSF65TTNKBEB6SE · pith_short_8: PPSF65TT

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/PPSF65TTNKBEB6SEOTEKQJ3OQY \
  | 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: 7be45f76736a8240fa4474c8a8276e860c7c73ee05b66a54eb3359c0fc3a4a1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d50977ed8cbc1521b770a122d866a1c3880d731da605301f08e3721bd831968f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-27T03:15:55Z",
    "title_canon_sha256": "1709184ba659e0d50d7953f119316ef5e5611d2e21cee1599eedd69db1a91e72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6398",
    "kind": "arxiv",
    "version": 1
  }
}