Pith Number

pith:VRQSXFKX

pith:2011:VRQSXFKXYHL35YTI533N4QGVTZ

not attested not anchored not stored refs pending

Sampling in Spaces of Bandlimited Functions on Commutative Spaces

Gestur Olafsson, Jens Gerlach Christensen

arxiv:1107.4578 v1 · 2011-07-22 · 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{VRQSXFKXYHL35YTI533N4QGVTZ}

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	2026-05-18T04:17:03.741370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac612b9557c1d7bee268eef6de40d59e70290b93e7373aa3af6772ee5d695ae0

Aliases

arxiv: 1107.4578 · arxiv_version: 1107.4578v1 · doi: 10.48550/arxiv.1107.4578 · pith_short_12: VRQSXFKXYHL3 · pith_short_16: VRQSXFKXYHL35YTI · pith_short_8: VRQSXFKX

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/VRQSXFKXYHL35YTI533N4QGVTZ \
  | 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: ac612b9557c1d7bee268eef6de40d59e70290b93e7373aa3af6772ee5d695ae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38bd87f3b8079b638850432a7b614a8d8ff6e5db5c9be9d4f5455a94a57d7e4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-07-22T17:08:44Z",
    "title_canon_sha256": "84522bba0d34e41bfaaa51148b3f4769043f97ce4c200ae240a5d56a5a211365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4578",
    "kind": "arxiv",
    "version": 1
  }
}