Pith Number

pith:QIYW2WDJ

pith:2011:QIYW2WDJVZ6LEZOI665USP3H4N

not attested not anchored not stored refs pending

A few remarks on sampling of signals with small spectrum

Alexander Olevskii, Alexander Ulanovskii, Shahaf Nitzan

arxiv:1104.2172 v1 · 2011-04-12 · 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{QIYW2WDJVZ6LEZOI665USP3H4N}

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	2026-05-18T04:24:35.808432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82316d5869ae7cb265c8f7bb493f67e34a22653dfbf49bab56c46e2f3366cf2d

Aliases

arxiv: 1104.2172 · arxiv_version: 1104.2172v1 · doi: 10.48550/arxiv.1104.2172 · pith_short_12: QIYW2WDJVZ6L · pith_short_16: QIYW2WDJVZ6LEZOI · pith_short_8: QIYW2WDJ

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/QIYW2WDJVZ6LEZOI665USP3H4N \
  | 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: 82316d5869ae7cb265c8f7bb493f67e34a22653dfbf49bab56c46e2f3366cf2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfb545d44e1e7779db11a9df09668409c8c64c0ed9758b4f8add12a54ee99ab1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-04-12T11:23:05Z",
    "title_canon_sha256": "2a0dd44eaef8d24f1cbefef058a3a6088f17a4b7c64f308f23e7203285e793e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2172",
    "kind": "arxiv",
    "version": 1
  }
}