Pith Number

pith:P5MUPTY2

pith:2018:P5MUPTY23PDFPEKOC7ERKHXDP2

not attested not anchored not stored refs pending

Plus-one generated and next to free arrangements of hyperplanes

Takuro Abe

arxiv:1808.04697 v3 · 2018-08-14 · math.AC · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5MUPTY23PDFPEKOC7ERKHXDP2}

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	2026-05-18T00:07:54.771836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f5947cf1adbc657914e17c9151ee37e9bda9d34f7592374c32524b6b2f3815c

Aliases

arxiv: 1808.04697 · arxiv_version: 1808.04697v3 · doi: 10.48550/arxiv.1808.04697 · pith_short_12: P5MUPTY23PDF · pith_short_16: P5MUPTY23PDFPEKO · pith_short_8: P5MUPTY2

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/P5MUPTY23PDFPEKOC7ERKHXDP2 \
  | 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: 7f5947cf1adbc657914e17c9151ee37e9bda9d34f7592374c32524b6b2f3815c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2df41a5f3a624ffc2fa55dafec332f9abe2e5cd582d7021d88aed18f76033a0c",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-08-14T14:01:15Z",
    "title_canon_sha256": "c7b10ff55f12ef5203a327a05fd4c03ee37ce060eaf79aff200fe0c4be6ddffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04697",
    "kind": "arxiv",
    "version": 3
  }
}