Pith Number

pith:NFKC4Y3A

pith:2022:NFKC4Y3AXBJVONPEL6X6VHT572

not attested not anchored not stored refs pending

Sumset estimates in convex geometry

Artem Zvavitch, Matthieu Fradelizi, Mokshay Madiman

arxiv:2206.01565 v1 · 2022-06-03 · math.MG · 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{NFKC4Y3AXBJVONPEL6X6VHT572}

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	2026-07-05T04:28:49.127051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69542e6360b8535735e45fafea9e7dfebd02ca9293c7123566115d0b000a0471

Aliases

arxiv: 2206.01565 · arxiv_version: 2206.01565v1 · doi: 10.48550/arxiv.2206.01565 · pith_short_12: NFKC4Y3AXBJV · pith_short_16: NFKC4Y3AXBJVONPE · pith_short_8: NFKC4Y3A

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/NFKC4Y3AXBJVONPEL6X6VHT572 \
  | 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: 69542e6360b8535735e45fafea9e7dfebd02ca9293c7123566115d0b000a0471

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b12ad6d3bedd19823b2b7bb52f7b5a24b2ed515c72d6493eeae21853ec16f6c8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2022-06-03T13:40:32Z",
    "title_canon_sha256": "51de1ec57460f50990640932787de8fb50280d9c3cf956c47959ac370ed7e535"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.01565",
    "kind": "arxiv",
    "version": 1
  }
}