Pith Number

pith:2PRUEVZD

pith:2012:2PRUEVZDYLXAR3JR7ELFNG2SUF

not attested not anchored not stored refs pending

The A_2 theorem and the local oscillation decomposition for Banach space valued functions

Timo S. H\"anninen, Tuomas P. Hyt\"onen

arxiv:1210.6236 v1 · 2012-10-23 · math.CA · 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{2PRUEVZDYLXAR3JR7ELFNG2SUF}

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	2026-05-18T00:41:46.867277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3e3425723c2ee08ed31f916569b52a177df7291603e379c9b1a2f125c471429

Aliases

arxiv: 1210.6236 · arxiv_version: 1210.6236v1 · doi: 10.48550/arxiv.1210.6236 · pith_short_12: 2PRUEVZDYLXA · pith_short_16: 2PRUEVZDYLXAR3JR · pith_short_8: 2PRUEVZD

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/2PRUEVZDYLXAR3JR7ELFNG2SUF \
  | 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: d3e3425723c2ee08ed31f916569b52a177df7291603e379c9b1a2f125c471429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f7b14357cba907e27502ffda9a273093d1a08a3f6abc090cdbb2ee5148903f0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-10-23T13:59:14Z",
    "title_canon_sha256": "75c622da3951d4d5b3f68e7f3a0f07fa1bc969ae7112c4df704b1df9d9837f30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6236",
    "kind": "arxiv",
    "version": 1
  }
}