Pith Number

pith:OC4DUPNQ

pith:2016:OC4DUPNQXN76EW2R2AYLVXACI6

not attested not anchored not stored refs pending

Improved bounds on the diameter of lattice polytopes

Antoine Deza, Lionel Pournin

arxiv:1610.00341 v1 · 2016-10-02 · math.MG · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OC4DUPNQXN76EW2R2AYLVXACI6}

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	2026-05-18T00:20:32.483454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70b83a3db0bb7fe25b51d030badc0247a8e91ab76910cc0bf0266ddfe21057ce

Aliases

arxiv: 1610.00341 · arxiv_version: 1610.00341v1 · doi: 10.48550/arxiv.1610.00341 · pith_short_12: OC4DUPNQXN76 · pith_short_16: OC4DUPNQXN76EW2R · pith_short_8: OC4DUPNQ

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/OC4DUPNQXN76EW2R2AYLVXACI6 \
  | 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: 70b83a3db0bb7fe25b51d030badc0247a8e91ab76910cc0bf0266ddfe21057ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ffffa88976a20c52c5b407a2a6410501f487e422c7293bc6374d047d327687",
    "cross_cats_sorted": [
      "math.CO",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-10-02T19:21:38Z",
    "title_canon_sha256": "4203e89e65de4dff25a27e6ab679a00fc5a999c435f122987d87a2997e610d5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00341",
    "kind": "arxiv",
    "version": 1
  }
}