Pith Number

pith:MUA7RZGU

pith:2009:MUA7RZGU5AH7XED5656EWCG44F

not attested not anchored not stored refs pending

Wiener's 'closure of translates' problem and Piatetski-Shapiro's uniqueness phenomenon

Alexander Olevskii, Nir Lev

arxiv:0908.0447 v2 · 2009-08-04 · math.CA · 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{MUA7RZGU5AH7XED5656EWCG44F}

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	2026-05-18T04:18:43.842902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6501f8e4d4e80ffb907df77c4b08dce16fe13f1f9aaf9845b639e0ab22f36e4e

Aliases

arxiv: 0908.0447 · arxiv_version: 0908.0447v2 · doi: 10.48550/arxiv.0908.0447 · pith_short_12: MUA7RZGU5AH7 · pith_short_16: MUA7RZGU5AH7XED5 · pith_short_8: MUA7RZGU

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/MUA7RZGU5AH7XED5656EWCG44F \
  | 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: 6501f8e4d4e80ffb907df77c4b08dce16fe13f1f9aaf9845b639e0ab22f36e4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "900612802c13b93b9248dd8c7b76400efaf91821debc652af9b0050b788284c3",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-08-04T13:58:09Z",
    "title_canon_sha256": "d103dbf5d2d52368bd7217428783e302633cc7f11e2d01cf1ba55aebad3a667e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0447",
    "kind": "arxiv",
    "version": 2
  }
}