Pith Number

pith:VGSNSZG6

pith:2018:VGSNSZG6OJMAEWSI5ML4ABYYHO

not attested not anchored not stored refs pending

Multiple addition, deletion and restriction theorems for hyperplane arrangements

Hiroaki Terao, Takuro Abe

arxiv:1801.01790 v1 · 2018-01-05 · 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{VGSNSZG6OJMAEWSI5ML4ABYYHO}

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	2026-05-18T00:26:40.982404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9a4d964de7258025a48eb17c007183bbf9fcc17776b724ae74ee209c0ec7b3a

Aliases

arxiv: 1801.01790 · arxiv_version: 1801.01790v1 · doi: 10.48550/arxiv.1801.01790 · pith_short_12: VGSNSZG6OJMA · pith_short_16: VGSNSZG6OJMAEWSI · pith_short_8: VGSNSZG6

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/VGSNSZG6OJMAEWSI5ML4ABYYHO \
  | 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: a9a4d964de7258025a48eb17c007183bbf9fcc17776b724ae74ee209c0ec7b3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae4ca13e1385421bc685eaef5fc0c045f7b8c99b52cc6f68d38418a007e61ea0",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-05T15:24:09Z",
    "title_canon_sha256": "bf172061dbc3bde32eeb503b3c53ba93f92f0b7bddd52bc3279df25c68b8e393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01790",
    "kind": "arxiv",
    "version": 1
  }
}