Pith Number

pith:G3MSBXPO

pith:2026:G3MSBXPO4GKWAVL5RUK5EQMQXK

not attested not anchored not stored refs pending

Integer Sequences which Are Closed with Respect to Multiplication and whose Sumset does not Intersect the Sequence

Georgi Demirov, Ognian Trifonov

arxiv:2607.09937 v1 · 2026-07-10 · 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{G3MSBXPO4GKWAVL5RUK5EQMQXK}

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	2026-07-14T00:18:43.944593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36d920ddeee19560557d8d15d24190ba812198ee68658b58f475a5aebf5d71ea

Aliases

arxiv: 2607.09937 · arxiv_version: 2607.09937v1 · doi: 10.48550/arxiv.2607.09937 · pith_short_12: G3MSBXPO4GKW · pith_short_16: G3MSBXPO4GKWAVL5 · pith_short_8: G3MSBXPO

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/G3MSBXPO4GKWAVL5RUK5EQMQXK \
  | 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: 36d920ddeee19560557d8d15d24190ba812198ee68658b58f475a5aebf5d71ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de8eaa3944eed349dfce34f309c4823465c284766815c4c46a3650a266341328",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-10T19:37:07Z",
    "title_canon_sha256": "462f9bb59f352d3c639cbbb0255c271d8a7c3bf825c042a5dba5cf16eda0a894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09937",
    "kind": "arxiv",
    "version": 1
  }
}