Pith Number

pith:AMPFXWNU

pith:2019:AMPFXWNU2QRWQNX2GRRX53LET4

not attested not anchored not stored refs pending

Tropical bisectors and Voronoi diagrams

Francisco Criado, Francisco Santos, Michael Joswig

arxiv:1906.10950 v4 · 2019-06-26 · 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{AMPFXWNU2QRWQNX2GRRX53LET4}

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.

Cited by

1 paper in Pith

Tropical Ehrhart Theory and Tropical Volume

Receipt and verification

First computed	2026-07-05T03:28:57.518049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

031e5bd9b4d4236836fa34637eed649f3e5939f4c34bf6b73dea504b99da6b59

Aliases

arxiv: 1906.10950 · arxiv_version: 1906.10950v4 · doi: 10.48550/arxiv.1906.10950 · pith_short_12: AMPFXWNU2QRW · pith_short_16: AMPFXWNU2QRWQNX2 · pith_short_8: AMPFXWNU

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/AMPFXWNU2QRWQNX2GRRX53LET4 \
  | 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: 031e5bd9b4d4236836fa34637eed649f3e5939f4c34bf6b73dea504b99da6b59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a81944b5187ff5df2346ce1ba55ad2fcb09e6447c78a98e710cd96e1d0c88d8",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-26T10:15:50Z",
    "title_canon_sha256": "612734cf6d62477048a3fa6b04135b7bd666cc9537fcf9374f07bbdb2fcbe7f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10950",
    "kind": "arxiv",
    "version": 4
  }
}