Pith Number

pith:6CQN4G6N

pith:2015:6CQN4G6NUK4S6CE2TCKEWUDY3W

not attested not anchored not stored refs pending

Ehrhart quasi-period collapse in rational polygons

Matthew Moriarity, Tyrrell B. McAllister

arxiv:1509.03680 v1 · 2015-09-11 · 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{6CQN4G6NUK4S6CE2TCKEWUDY3W}

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	2026-05-18T01:33:14.843646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0a0de1bcda2b92f089a98944b5078dd916f3abaf3902a1e5c4b3f345dabe9fc

Aliases

arxiv: 1509.03680 · arxiv_version: 1509.03680v1 · doi: 10.48550/arxiv.1509.03680 · pith_short_12: 6CQN4G6NUK4S · pith_short_16: 6CQN4G6NUK4S6CE2 · pith_short_8: 6CQN4G6N

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/6CQN4G6NUK4S6CE2TCKEWUDY3W \
  | 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: f0a0de1bcda2b92f089a98944b5078dd916f3abaf3902a1e5c4b3f345dabe9fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ba3ad88e2140315effc5831ce93017bf44429fc2419ca96aa2f17beaa06ecf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-11T22:12:24Z",
    "title_canon_sha256": "d64744b5dd55c94f7783efa1f95dfd155aa5c55d67eca35c27fa6021ac7239fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03680",
    "kind": "arxiv",
    "version": 1
  }
}