Pith Number

pith:QVYWTZU2

pith:2014:QVYWTZU2HF6VZMJIUTQ4JDXINR

not attested not anchored not stored refs pending

Sets Characterized by Missing Sums and Differences in Dilating Polytopes

Archit Kulkarni, David Moon, Jake Wellens, James Wilcox, Steven J. Miller, Thao Do

arxiv:1406.2052 v2 · 2014-06-09 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVYWTZU2HF6VZMJIUTQ4JDXINR}

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	2026-05-18T02:50:01.923091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

857169e69a397d5cb128a4e1c48ee86c74ccce24678d409dba350e78ac2aff5f

Aliases

arxiv: 1406.2052 · arxiv_version: 1406.2052v2 · doi: 10.48550/arxiv.1406.2052 · pith_short_12: QVYWTZU2HF6V · pith_short_16: QVYWTZU2HF6VZMJI · pith_short_8: QVYWTZU2

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/QVYWTZU2HF6VZMJIUTQ4JDXINR \
  | 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: 857169e69a397d5cb128a4e1c48ee86c74ccce24678d409dba350e78ac2aff5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0785697de8b8da89da9611c4cd76d3b2385a3484ec9a3b57c1de2e8d8378ba04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-09T02:28:20Z",
    "title_canon_sha256": "9ba4c7da1eb64f5c966bdc938073ddd71a3c28f7cab83ad1756e82476512adba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.2052",
    "kind": "arxiv",
    "version": 2
  }
}