Pith Number

pith:VSMJYCRP

pith:2019:VSMJYCRPLKCEANGZIYEBXZID3Y

not attested not anchored not stored refs pending

On weighted sums of numbers of convex polygons in point sets

Birgit Vogtenhuber, Clemens Huemer, Deborah Oliveros, Ferran Torra, Pablo P\'erez-Lantero

arxiv:1910.08736 v1 · 2019-10-19 · 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{VSMJYCRPLKCEANGZIYEBXZID3Y}

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	2026-07-05T00:13:19.172413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac989c0a2f5a844034d946081be503de2a8623fe3dfb02b8270d02edcb713700

Aliases

arxiv: 1910.08736 · arxiv_version: 1910.08736v1 · doi: 10.48550/arxiv.1910.08736 · pith_short_12: VSMJYCRPLKCE · pith_short_16: VSMJYCRPLKCEANGZ · pith_short_8: VSMJYCRP

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/VSMJYCRPLKCEANGZIYEBXZID3Y \
  | 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: ac989c0a2f5a844034d946081be503de2a8623fe3dfb02b8270d02edcb713700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "737e06c08ab43095f8c4d5a254cc7f4b70e769f92082d6941ef09013c247e780",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-10-19T10:05:14Z",
    "title_canon_sha256": "215c1849e25bafe77a1bfab7d3a98b96397668e6ddcc4aacfbed76cf4ecb7ba3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.08736",
    "kind": "arxiv",
    "version": 1
  }
}