Pith Number

pith:MP53QRVR

pith:2002:MP53QRVRW2OUTUWXMQVXN6AM5K

not attested not anchored not stored refs pending

Moduli of continuity and average decay of Fourier transforms: two-sided estimates

Dimitri Gioev

arxiv:math/0212254 v3 · 2002-12-18 · 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{MP53QRVRW2OUTUWXMQVXN6AM5K}

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	2026-05-18T04:08:43.122548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63fbb846b1b69d49d2d7642b76f80cea9c609cd05fdad2f37d9e3199c12e9983

Aliases

arxiv: math/0212254 · arxiv_version: math/0212254v3 · doi: 10.48550/arxiv.math/0212254 · pith_short_12: MP53QRVRW2OU · pith_short_16: MP53QRVRW2OUTUWX · pith_short_8: MP53QRVR

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/MP53QRVRW2OUTUWXMQVXN6AM5K \
  | 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: 63fbb846b1b69d49d2d7642b76f80cea9c609cd05fdad2f37d9e3199c12e9983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6b127ac6f7c2375c94695dd514b8580185608b95c39b3f68bda38622fabc2b4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2002-12-18T20:15:36Z",
    "title_canon_sha256": "d48f63e0e3ba1277c267f72195c9dba08800300228abaa488c6b521a6ca5ad92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0212254",
    "kind": "arxiv",
    "version": 3
  }
}