Pith Number

pith:HQZAOBSQ

pith:2020:HQZAOBSQB2QIIIG7ZNFMIYGJ6W

not attested not anchored not stored refs pending

Sumsets of Semiconvex sets

Imre Ruzsa, Jozsef Solymosi

arxiv:2008.08021 v2 · 2020-08-18 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQZAOBSQB2QIIIG7ZNFMIYGJ6W}

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	2026-07-05T02:53:52.557313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c320706500ea08420dfcb4ac460c9f5b7a4a81a05166e25ecd503d8bf6f4620

Aliases

arxiv: 2008.08021 · arxiv_version: 2008.08021v2 · doi: 10.48550/arxiv.2008.08021 · pith_short_12: HQZAOBSQB2QI · pith_short_16: HQZAOBSQB2QIIIG7 · pith_short_8: HQZAOBSQ

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/HQZAOBSQB2QIIIG7ZNFMIYGJ6W \
  | 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: 3c320706500ea08420dfcb4ac460c9f5b7a4a81a05166e25ecd503d8bf6f4620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da92babd12fc6cc8ef78483d2ddbe58305bebfa90f255869c23259ea997994f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-08-18T16:44:40Z",
    "title_canon_sha256": "f0c22b1f0730384d18fd0d01bb5983e09a92a69c41d2b0bf6d8a01acbe2120c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.08021",
    "kind": "arxiv",
    "version": 2
  }
}