Pith Number

pith:YAODFYRJ

pith:2010:YAODFYRJDWN5CB5RRCK5YNIK6L

not attested not anchored not stored refs pending

Bessel sequences of exponentials on fractal measures

Deguang Han, Dorin Ervin Dutkay, Eric Weber

arxiv:1008.4304 v1 · 2010-08-25 · 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{YAODFYRJDWN5CB5RRCK5YNIK6L}

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	2026-05-18T04:41:53.214199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c01c32e2291d9bd107b18895dc350af2d0b8b479a0f0ce684887c6b9b7d71287

Aliases

arxiv: 1008.4304 · arxiv_version: 1008.4304v1 · doi: 10.48550/arxiv.1008.4304 · pith_short_12: YAODFYRJDWN5 · pith_short_16: YAODFYRJDWN5CB5R · pith_short_8: YAODFYRJ

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/YAODFYRJDWN5CB5RRCK5YNIK6L \
  | 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: c01c32e2291d9bd107b18895dc350af2d0b8b479a0f0ce684887c6b9b7d71287

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1b2af20a432d967f3ed04979f7f8b7840ec6d768f35a8bebf8041069182466c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-08-25T15:43:06Z",
    "title_canon_sha256": "da9925b0ce187392d8cc1e5183ae1ba5dd0764100e9e462a4c1e3a0564d9e9f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4304",
    "kind": "arxiv",
    "version": 1
  }
}