Pith Number

pith:WLK7VUDQ

pith:2019:WLK7VUDQZEK4X5GIYUCAHMER7O

not attested not anchored not stored refs pending

Nef-partitions arising from unimodular configurations

Akiyoshi Tsuchiya, Hidefumi Ohsugi

arxiv:1908.01369 v2 · 2019-08-04 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLK7VUDQZEK4X5GIYUCAHMER7O}

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	2026-07-05T01:32:56.337958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2d5fad070c915cbf4c8c50403b091fbb0de64c7737eaa9e2669cc98b2b3b893

Aliases

arxiv: 1908.01369 · arxiv_version: 1908.01369v2 · doi: 10.48550/arxiv.1908.01369 · pith_short_12: WLK7VUDQZEK4 · pith_short_16: WLK7VUDQZEK4X5GI · pith_short_8: WLK7VUDQ

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/WLK7VUDQZEK4X5GIYUCAHMER7O \
  | 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: b2d5fad070c915cbf4c8c50403b091fbb0de64c7737eaa9e2669cc98b2b3b893

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57ccead50e3be5df17b998e4f8206b04b35b1447cae5ee259f2c45c61ac1a2c5",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-04T15:55:23Z",
    "title_canon_sha256": "be13b71fee890fbfb5a82902611fec132742306ff36a711e87de7fa40ae3c5a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01369",
    "kind": "arxiv",
    "version": 2
  }
}