Pith Number

pith:GJU3AO2K

pith:2022:GJU3AO2K3DOJ7OBSBAGRQOCVBZ

not attested not anchored not stored refs pending

Voronoi diagrams of algebraic varieties under polyhedral norms

Adrian Becedas, Kathl\'en Kohn, Lorenzo Venturello

arxiv:2209.11463 v1 · 2022-09-23 · math.AG · 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{GJU3AO2K3DOJ7OBSBAGRQOCVBZ}

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	2026-07-05T05:00:21.033622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3269b03b4ad8dc9fb832080d1838550e513612b60c88f4763461f70966df974d

Aliases

arxiv: 2209.11463 · arxiv_version: 2209.11463v1 · doi: 10.48550/arxiv.2209.11463 · pith_short_12: GJU3AO2K3DOJ · pith_short_16: GJU3AO2K3DOJ7OBS · pith_short_8: GJU3AO2K

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/GJU3AO2K3DOJ7OBSBAGRQOCVBZ \
  | 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: 3269b03b4ad8dc9fb832080d1838550e513612b60c88f4763461f70966df974d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12e5ce92d8031a5d3fd5537256393f664a58708d809f7fdb8b3ba2bbf9906756",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-09-23T08:01:06Z",
    "title_canon_sha256": "f81712971d67c36b04d583a294a6961afcd25ac47d52d42c66f404adabf59b74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.11463",
    "kind": "arxiv",
    "version": 1
  }
}