Pith Number

pith:XMF7W6SP

pith:2018:XMF7W6SPKPT3LED7AS35ZLPUMH

not attested not anchored not stored refs pending

New irrational polygons with Ehrhart-theoretic period collapse

Quang-Nhat Le

arxiv:1808.00146 v1 · 2018-08-01 · 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{XMF7W6SPKPT3LED7AS35ZLPUMH}

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	2026-05-18T00:09:08.629154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb0bfb7a4f53e7b5907f04b7dcadf461f9586183f774d4f7ef2474b28694e045

Aliases

arxiv: 1808.00146 · arxiv_version: 1808.00146v1 · doi: 10.48550/arxiv.1808.00146 · pith_short_12: XMF7W6SPKPT3 · pith_short_16: XMF7W6SPKPT3LED7 · pith_short_8: XMF7W6SP

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/XMF7W6SPKPT3LED7AS35ZLPUMH \
  | 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: bb0bfb7a4f53e7b5907f04b7dcadf461f9586183f774d4f7ef2474b28694e045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5016aeca9f6d3335509c2e97387b9dc6e3732a8e00b40371e65615288690a7ae",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-01T02:54:44Z",
    "title_canon_sha256": "ec8a590b80599dee3f541939b798e3e7b3ff83e91f2df7df7ac2ecfde56bb154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00146",
    "kind": "arxiv",
    "version": 1
  }
}