Pith Number

pith:RYY6L6XZ

pith:2018:RYY6L6XZQKF3JDINZ72VRM7BY5

not attested not anchored not stored refs pending

Maximal Operators for cube skeletons

Andrea Olivo, Pablo Shmerkin

arxiv:1807.05280 v1 · 2018-07-13 · 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{RYY6L6XZQKF3JDINZ72VRM7BY5}

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	2026-05-18T00:10:43.941588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e31e5faf9828bb48d0dcff558b3e1c74a3acf9c97358eb4c0ef23c2e86feff3

Aliases

arxiv: 1807.05280 · arxiv_version: 1807.05280v1 · doi: 10.48550/arxiv.1807.05280 · pith_short_12: RYY6L6XZQKF3 · pith_short_16: RYY6L6XZQKF3JDIN · pith_short_8: RYY6L6XZ

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/RYY6L6XZQKF3JDINZ72VRM7BY5 \
  | 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: 8e31e5faf9828bb48d0dcff558b3e1c74a3acf9c97358eb4c0ef23c2e86feff3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35354fa82f081aac94c8b733ca52862336b04c30aee38cdc94771391931a0bf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-07-13T20:54:31Z",
    "title_canon_sha256": "a2793314f8cb5bfd7af6b05e120097e3a15a07cbc6fd149957763dfd9e57a22b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05280",
    "kind": "arxiv",
    "version": 1
  }
}