Pith Number

pith:2GGMXQHU

pith:2017:2GGMXQHU6U654T5WIDXLX7F6QU

not attested not anchored not stored refs pending

Sampling formulas involving differences in shift-invariant subspaces: a unified approach

Antonio G. Garc\'ia, Mar\'ia J. Mu\~noz-Bouzo

arxiv:1709.03893 v1 · 2017-09-12 · math.FA · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GGMXQHU6U654T5WIDXLX7F6QU}

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	2026-05-18T00:35:29.055673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d18ccbc0f4f53dde4fb640eebbfcbe8509603add2e02212bb40e4006fdf63fea

Aliases

arxiv: 1709.03893 · arxiv_version: 1709.03893v1 · doi: 10.48550/arxiv.1709.03893 · pith_short_12: 2GGMXQHU6U65 · pith_short_16: 2GGMXQHU6U654T5W · pith_short_8: 2GGMXQHU

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/2GGMXQHU6U654T5WIDXLX7F6QU \
  | 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: d18ccbc0f4f53dde4fb640eebbfcbe8509603add2e02212bb40e4006fdf63fea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab13795253132a89af563ba39e451a31d0c064f02119983f0e7e7406159a49f1",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-09-12T14:55:13Z",
    "title_canon_sha256": "60f4c718cc07ad72293999cbaaed305e1e6dea53d32749f2f07f12abf3a91507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03893",
    "kind": "arxiv",
    "version": 1
  }
}