Pith Number

pith:BEEAWJD7

pith:2026:BEEAWJD767MPCFMAK55FYKLO5F

not attested not anchored not stored refs pending

A positive answer to the Owings's sumsets question

Leiye Xu, Rongzhong Xiao, Shuhao Zhang, Song Shao, Wen Huang, Zhengxing Lian

arxiv:2607.17333 v1 · 2026-07-19 · math.CO · math.DS · 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{BEEAWJD767MPCFMAK55FYKLO5F}

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	2026-07-21T01:21:28.058463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09080b247ff7d8f11580577a5c296ee96bb410c79be3f83150781427473abfbc

Aliases

arxiv: 2607.17333 · arxiv_version: 2607.17333v1 · doi: 10.48550/arxiv.2607.17333 · pith_short_12: BEEAWJD767MP · pith_short_16: BEEAWJD767MPCFMA · pith_short_8: BEEAWJD7

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/BEEAWJD767MPCFMAK55FYKLO5F \
  | 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: 09080b247ff7d8f11580577a5c296ee96bb410c79be3f83150781427473abfbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ba450528d657f705a98ef3419a64ef82acab3461c1f5e82db3c905d48f3ebf6",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-19T16:42:06Z",
    "title_canon_sha256": "8b36097ffb0d1842d35fb61bc14c7f3d2d6085f1dada9dc83abf1b14253269f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17333",
    "kind": "arxiv",
    "version": 1
  }
}