Pith Number

pith:TTQRDZC4

pith:2020:TTQRDZC4ZWKF4G3JGQ2TPYSRZO

not attested not anchored not stored refs pending

Shortest-support Multi-Spline Bases for Generalized Sampling

Alexis Goujon, Alireza Naderi, Michael Unser, Shayan Aziznejad

arxiv:2012.08954 v2 · 2020-12-16 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTQRDZC4ZWKF4G3JGQ2TPYSRZO}

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	2026-07-05T02:50:08.336487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ce111e45ccd945e1b69343537e251cbae25d5126bcf75812002c724725acb8d

Aliases

arxiv: 2012.08954 · arxiv_version: 2012.08954v2 · doi: 10.48550/arxiv.2012.08954 · pith_short_12: TTQRDZC4ZWKF · pith_short_16: TTQRDZC4ZWKF4G3J · pith_short_8: TTQRDZC4

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/TTQRDZC4ZWKF4G3JGQ2TPYSRZO \
  | 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: 9ce111e45ccd945e1b69343537e251cbae25d5126bcf75812002c724725acb8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72edbbfd0dc2a4946bd71dc9ff36663ede1577cce8d04ff928470a6d360ebbf1",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-12-16T13:54:57Z",
    "title_canon_sha256": "6679517a52e9180ef5063082ada6c7313501c641c3232ec6a84bbfa26e26ff0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.08954",
    "kind": "arxiv",
    "version": 2
  }
}