Pith Number

pith:5M25Y7NR

pith:2011:5M25Y7NRKEUNFLTL7HUF3OXXLN

not attested not anchored not stored refs pending

A simple sharp weighted estimate of the dyadic shifts on metric spaces with geometric doubling

Alexander Volberg, Fedor Nazarov

arxiv:1104.4893 v2 · 2011-04-26 · math.MG · math.AP · 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{5M25Y7NRKEUNFLTL7HUF3OXXLN}

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	2026-05-18T04:23:22.681948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb35dc7db15128d2ae6bf9e85dbaf75b41b2633f9b0665593f694244384ee0b9

Aliases

arxiv: 1104.4893 · arxiv_version: 1104.4893v2 · doi: 10.48550/arxiv.1104.4893 · pith_short_12: 5M25Y7NRKEUN · pith_short_16: 5M25Y7NRKEUNFLTL · pith_short_8: 5M25Y7NR

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/5M25Y7NRKEUNFLTL7HUF3OXXLN \
  | 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: eb35dc7db15128d2ae6bf9e85dbaf75b41b2633f9b0665593f694244384ee0b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44ca749177c9d35f34bd2586663eff31d06b630cf41d873285fd3e22f6b72109",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-04-26T11:48:21Z",
    "title_canon_sha256": "5ec73a6778f47c19d19edd18f2b0cfe7b92240d395f864d57961e87735c0c2e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4893",
    "kind": "arxiv",
    "version": 2
  }
}