Pith Number

pith:4G77ZRZD

pith:2019:4G77ZRZD3IOMYZUSA3O3ONNKAU

not attested not anchored not stored refs pending

Integral points in rational polygons: a numerical semigroup approach

Guadalupe M\'arquez-Campos, Jorge L. Ram\'irez-Alfons\'in, Jos\'e M. Tornero

arxiv:1907.01226 v1 · 2019-07-02 · 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{4G77ZRZD3IOMYZUSA3O3ONNKAU}

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	2026-05-17T23:41:40.913303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1bffcc723da1ccc669206ddb735aa0509ad88f10cb8ae77fe55bcf7eff35b67

Aliases

arxiv: 1907.01226 · arxiv_version: 1907.01226v1 · doi: 10.48550/arxiv.1907.01226 · pith_short_12: 4G77ZRZD3IOM · pith_short_16: 4G77ZRZD3IOMYZUS · pith_short_8: 4G77ZRZD

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/4G77ZRZD3IOMYZUSA3O3ONNKAU \
  | 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: e1bffcc723da1ccc669206ddb735aa0509ad88f10cb8ae77fe55bcf7eff35b67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc453b89767cedf4ae2ae292a97d254cdb146e5cf07d73fe6639b8c6ae796b7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-02T08:18:20Z",
    "title_canon_sha256": "afa40ee93bf84ce2900939af7b180e784909c2d3921be6bbf856bd2ebca84ec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01226",
    "kind": "arxiv",
    "version": 1
  }
}