Pith Number

pith:O4VXF46B

pith:2016:O4VXF46BP6ZBAQCKN4WWX2CTL2

not attested not anchored not stored refs pending

Three-dimensional lattice polytopes with two interior lattice points

Alexander M. Kasprzyk, Gabriele Balletti

arxiv:1612.08918 v1 · 2016-12-28 · 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{O4VXF46BP6ZBAQCKN4WWX2CTL2}

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	2026-05-18T00:53:46.844142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

772b72f3c17fb210404a6f2d6be8535e9bc9d65b4bb87f42485a2e139cf7ed78

Aliases

arxiv: 1612.08918 · arxiv_version: 1612.08918v1 · doi: 10.48550/arxiv.1612.08918 · pith_short_12: O4VXF46BP6ZB · pith_short_16: O4VXF46BP6ZBAQCK · pith_short_8: O4VXF46B

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/O4VXF46BP6ZBAQCKN4WWX2CTL2 \
  | 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: 772b72f3c17fb210404a6f2d6be8535e9bc9d65b4bb87f42485a2e139cf7ed78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9f47a2d730190d73bea95ed16fe037cb9cf4b4a51bf9fa0197aa8a82c2c8af1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-28T16:15:00Z",
    "title_canon_sha256": "185a84624a468c85792d14145f6ed28534ca8d65beaf3aeaed8882d5940cb1ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08918",
    "kind": "arxiv",
    "version": 1
  }
}