Pith Number

pith:E4XLPXYS

pith:2007:E4XLPXYSQ453F2TA7BBFXZMUIT

not attested not anchored not stored refs pending

Multidimensional decay in van der Corput lemma

Michael Ruzhansky

arxiv:0711.0598 v1 · 2007-11-05 · math.AP · 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{E4XLPXYSQ453F2TA7BBFXZMUIT}

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	2026-05-18T03:59:48.023239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

272eb7df12873bb2ea60f8425be59444f27b490e15d5dcd496aebca90a5e5904

Aliases

arxiv: 0711.0598 · arxiv_version: 0711.0598v1 · doi: 10.48550/arxiv.0711.0598 · pith_short_12: E4XLPXYSQ453 · pith_short_16: E4XLPXYSQ453F2TA · pith_short_8: E4XLPXYS

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/E4XLPXYSQ453F2TA7BBFXZMUIT \
  | 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: 272eb7df12873bb2ea60f8425be59444f27b490e15d5dcd496aebca90a5e5904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c1fd0d8568912871ca95446686c8eede8b5b6a9add6e941cb67127afabaaeb2",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-11-05T10:34:01Z",
    "title_canon_sha256": "ae37c23ed2880745dbb1a398673d7336bf84bba22561f366b6dfbbb2d2617cb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0598",
    "kind": "arxiv",
    "version": 1
  }
}