Pith Number

pith:32STQ5TW

pith:2017:32STQ5TWM4CD45ZYKS4M7Z2RJ4

not attested not anchored not stored refs pending

Freeness of multi-reflection arrangements via primitive vector fields

Christian Stump, Gerhard Roehrle, Torsten Hoge, Toshiyuki Mano

arxiv:1703.08980 v4 · 2017-03-27 · math.GR · math.AC · 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{32STQ5TWM4CD45ZYKS4M7Z2RJ4}

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	2026-05-17T23:48:22.968800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dea538767667043e773854b8cfe7514f10a25b432db57b488f9b0edc2b8a17e5

Aliases

arxiv: 1703.08980 · arxiv_version: 1703.08980v4 · doi: 10.48550/arxiv.1703.08980 · pith_short_12: 32STQ5TWM4CD · pith_short_16: 32STQ5TWM4CD45ZY · pith_short_8: 32STQ5TW

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/32STQ5TWM4CD45ZYKS4M7Z2RJ4 \
  | 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: dea538767667043e773854b8cfe7514f10a25b432db57b488f9b0edc2b8a17e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47da3997b20b235de1838414b740b4450ec0b7d7e5377e0c972c52fb6b0b5fbb",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-03-27T09:23:37Z",
    "title_canon_sha256": "89b249918e59ffccc0ccb073f97bc779cff24edce467d557e2cb1a71a98de63e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08980",
    "kind": "arxiv",
    "version": 4
  }
}