Pith Number

pith:QFSW5AVZ

pith:2019:QFSW5AVZB6IIPLRF6KAQBIGF3L

not attested not anchored not stored refs pending

The diameter of lattice zonotopes

Antoine Deza, Lionel Pournin, Noriyoshi Sukegawa

arxiv:1905.04750 v1 · 2019-05-12 · 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{QFSW5AVZB6IIPLRF6KAQBIGF3L}

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	2026-07-05T01:10:25.816171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81656e82b90f9087ae25f28100a0c5daf27c4d37e6f905c379a7c4bb50d81173

Aliases

arxiv: 1905.04750 · arxiv_version: 1905.04750v1 · doi: 10.48550/arxiv.1905.04750 · pith_short_12: QFSW5AVZB6II · pith_short_16: QFSW5AVZB6IIPLRF · pith_short_8: QFSW5AVZ

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/QFSW5AVZB6IIPLRF6KAQBIGF3L \
  | 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: 81656e82b90f9087ae25f28100a0c5daf27c4d37e6f905c379a7c4bb50d81173

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32d170ed88574539d47496d8eb0c3cb18d08771cc78f2fd7289e03bfccad5cdc",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-12T17:21:51Z",
    "title_canon_sha256": "af227f6477ef6469e35abbabc0793e4d1e3687887572030d79c223b504e3bc03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04750",
    "kind": "arxiv",
    "version": 1
  }
}