Pith Number

pith:UKMPBA3D

pith:2013:UKMPBA3DAGSB3IQJ2FWFPHBIQC

not attested not anchored not stored refs pending

On Astala's theorem for martingales and Fourier multipliers

Adam Osekowski, Rodrigo Banuelos

arxiv:1306.3659 v1 · 2013-06-16 · math.PR · math.CV · 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{UKMPBA3DAGSB3IQJ2FWFPHBIQC}

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	2026-05-18T03:20:46.874846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a298f0836301a41da209d16c579c2880acdbef702dd8b694e8fdf6d58692cf6b

Aliases

arxiv: 1306.3659 · arxiv_version: 1306.3659v1 · doi: 10.48550/arxiv.1306.3659 · pith_short_12: UKMPBA3DAGSB · pith_short_16: UKMPBA3DAGSB3IQJ · pith_short_8: UKMPBA3D

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/UKMPBA3DAGSB3IQJ2FWFPHBIQC \
  | 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: a298f0836301a41da209d16c579c2880acdbef702dd8b694e8fdf6d58692cf6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62ce3c82cf086db9ea1f89b272e799090357e6c3541501da83d51d9102e884f1",
    "cross_cats_sorted": [
      "math.CV",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-16T13:32:45Z",
    "title_canon_sha256": "73f441e4284d6e7a472de9371ce7b461953661cd1f60f84ef74af1f59395d30e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3659",
    "kind": "arxiv",
    "version": 1
  }
}