Pith Number

pith:4N53CRBM

pith:2011:4N53CRBMXORFJWTEEFEQGEYX3N

not attested not anchored not stored refs pending

On sharp heat and subordinated kernel estimates in the Fourier-Bessel setting

Adam Nowak, Luz Roncal

arxiv:1111.5700 v1 · 2011-11-24 · 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{4N53CRBMXORFJWTEEFEQGEYX3N}

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	2026-05-18T02:39:16.971224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e37bb1442cbba254da642149031317db49044f72d8d719bb7234c386f84ff3f7

Aliases

arxiv: 1111.5700 · arxiv_version: 1111.5700v1 · doi: 10.48550/arxiv.1111.5700 · pith_short_12: 4N53CRBMXORF · pith_short_16: 4N53CRBMXORFJWTE · pith_short_8: 4N53CRBM

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/4N53CRBMXORFJWTEEFEQGEYX3N \
  | 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: e37bb1442cbba254da642149031317db49044f72d8d719bb7234c386f84ff3f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0050e1d721872df4a606bfccb0316766af5f8b1cfb24097c3e00a3af85824a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-11-24T09:10:44Z",
    "title_canon_sha256": "299187e0b537c3f05e58ed517c7bf5f8aab6f4148b8eca873ad929a2a7e963d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5700",
    "kind": "arxiv",
    "version": 1
  }
}