Pith Number

pith:ZWOG46ZS

pith:2016:ZWOG46ZSGSSFQ2DXNBRQMGDUEJ

not attested not anchored not stored refs pending

Macdonald's solid-angle sum for real dilations of rational polygons

Quang-Nhat Le, Sinai Robins

arxiv:1602.02681 v1 · 2016-02-08 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWOG46ZSGSSFQ2DXNBRQMGDUEJ}

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	2026-05-18T01:21:09.173103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd9c6e7b3234a45868776863061874226f4bcfb6b42a397cc809667f4506b8ac

Aliases

arxiv: 1602.02681 · arxiv_version: 1602.02681v1 · doi: 10.48550/arxiv.1602.02681 · pith_short_12: ZWOG46ZSGSSF · pith_short_16: ZWOG46ZSGSSFQ2DX · pith_short_8: ZWOG46ZS

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/ZWOG46ZSGSSFQ2DXNBRQMGDUEJ \
  | 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: cd9c6e7b3234a45868776863061874226f4bcfb6b42a397cc809667f4506b8ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bd978e7503a9b9723c41b2e75dc7397797f0d3aa64ea25175799f71fc3bc2b2",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-08T18:27:50Z",
    "title_canon_sha256": "ec1a8d325ddf145121d70976a26b09cf5f26fdb89a0b880927b957764f4f7212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02681",
    "kind": "arxiv",
    "version": 1
  }
}