Pith Number

pith:NHAEJCWI

pith:2022:NHAEJCWIUTJUSPCCH5NOXZQLY7

not attested not anchored not stored refs pending

Endpoint sparse domination for classes of multiplier transformations

Andreas Seeger, David Beltran, Joris Roos

arxiv:2212.12437 v2 · 2022-12-23 · 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{NHAEJCWIUTJUSPCCH5NOXZQLY7}

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	2026-07-05T08:17:08.755145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69c0448ac8a4d3493c423f5aebe60bc7eb408d79ba3b596f3fb91691242ae38e

Aliases

arxiv: 2212.12437 · arxiv_version: 2212.12437v2 · doi: 10.48550/arxiv.2212.12437 · pith_short_12: NHAEJCWIUTJU · pith_short_16: NHAEJCWIUTJUSPCC · pith_short_8: NHAEJCWI

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/NHAEJCWIUTJUSPCCH5NOXZQLY7 \
  | 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: 69c0448ac8a4d3493c423f5aebe60bc7eb408d79ba3b596f3fb91691242ae38e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "530839fca57f2c995820b3e261068ba9ea6264e6fd32d0fb065e6b27bb8db1a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2022-12-23T16:13:33Z",
    "title_canon_sha256": "86af2f4ad46a93108a7369821725108724b15bc37ecbf7e44aea1eaaab9e8b12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.12437",
    "kind": "arxiv",
    "version": 2
  }
}