Pith Number

pith:2UT7QCDT

pith:2023:2UT7QCDTSQQHZFVWEUKMXYFGFX

not attested not anchored not stored refs pending

On an inverse problem for restricted sumsets

Xin-Qi Luo, Zhi-Wei Sun

arxiv:2305.11574 v1 · 2023-05-19 · math.NT · 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{2UT7QCDTSQQHZFVWEUKMXYFGFX}

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	2026-07-05T06:11:48.835041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d527f8087394207c96b62514cbe0a62dcd49bba68d322e0d5b0b500d6f64861d

Aliases

arxiv: 2305.11574 · arxiv_version: 2305.11574v1 · doi: 10.48550/arxiv.2305.11574 · pith_short_12: 2UT7QCDTSQQH · pith_short_16: 2UT7QCDTSQQHZFVW · pith_short_8: 2UT7QCDT

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/2UT7QCDTSQQHZFVWEUKMXYFGFX \
  | 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: d527f8087394207c96b62514cbe0a62dcd49bba68d322e0d5b0b500d6f64861d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ee86d8f3287db39749ca06e0023246ab7d3a6e04c896a7c3295b632ddbbb4b4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-05-19T10:21:19Z",
    "title_canon_sha256": "34ec256ed5dc0ba0daa608a94dde8c74d73c49f2c8db73ee138827aa0914dbff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.11574",
    "kind": "arxiv",
    "version": 1
  }
}