Pith Number

pith:MLYNVR6I

pith:2019:MLYNVR6I7KW6LP6BWFS5HSVVC7

not attested not anchored not stored refs pending

Positive semigroups and generalized Frobenius numbers over totally real number fields

Lenny Fukshansky, Yingqi Shi

arxiv:1911.08087 v1 · 2019-11-19 · 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{MLYNVR6I7KW6LP6BWFS5HSVVC7}

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	2026-07-05T00:20:25.077254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62f0dac7c8faade5bfc1b165d3cab517e2236af0283f421f0413aa4756ff3819

Aliases

arxiv: 1911.08087 · arxiv_version: 1911.08087v1 · doi: 10.48550/arxiv.1911.08087 · pith_short_12: MLYNVR6I7KW6 · pith_short_16: MLYNVR6I7KW6LP6B · pith_short_8: MLYNVR6I

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/MLYNVR6I7KW6LP6BWFS5HSVVC7 \
  | 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: 62f0dac7c8faade5bfc1b165d3cab517e2236af0283f421f0413aa4756ff3819

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b78d9f2c9a0686a5521ea1b896ec0d2e1a0ece5f07c5aae8a174e8ff7274d1b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-11-19T04:19:25Z",
    "title_canon_sha256": "dd1502eb00eceafb0a91e614bdb9541b8112df736e9bc73b3cfebb70f091b108"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.08087",
    "kind": "arxiv",
    "version": 1
  }
}