Pith Number

pith:RQIX3X7I

pith:2018:RQIX3X7I45MRBAETP5MJO4RAYL

not attested not anchored not stored refs pending

Which sets are sets of lengths in all numerical monoids ?

Alfred Geroldinger (IM), Wolfgang Schmid (LAGA)

arxiv:1802.09945 v2 · 2018-02-26 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RQIX3X7I45MRBAETP5MJO4RAYL}

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	2026-05-18T00:11:49.765403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c117ddfe8e7591080937f58977220c2eabd1a1599325036ec8dcdcc76dee213

Aliases

arxiv: 1802.09945 · arxiv_version: 1802.09945v2 · doi: 10.48550/arxiv.1802.09945 · pith_short_12: RQIX3X7I45MR · pith_short_16: RQIX3X7I45MRBAET · pith_short_8: RQIX3X7I

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/RQIX3X7I45MRBAETP5MJO4RAYL \
  | 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: 8c117ddfe8e7591080937f58977220c2eabd1a1599325036ec8dcdcc76dee213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84401b7850eef42b72f89bd54ba7ed535a46dd4c0416faefa28b8d404f5ad72a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-02-26T15:08:38Z",
    "title_canon_sha256": "17e69a548df74dff27f591e093c6ea7edea60367a7cc2c21f2f397ffde5e07f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09945",
    "kind": "arxiv",
    "version": 2
  }
}