Pith Number

pith:3WXJROBS

pith:2012:3WXJROBS4W6CS2WEYHE4AG6GIM

not attested not anchored not stored refs pending

Reflection arrangements are hereditarily free

Gerhard Roehrle, Torsten Hoge

arxiv:1205.5430 v2 · 2012-05-24 · math.GR · 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{3WXJROBS4W6CS2WEYHE4AG6GIM}

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	2026-05-18T03:41:32.122184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddae98b832e5bc296ac4c1c9c01bc64313cdb6a476ddc2f1403eac265fd2d3ea

Aliases

arxiv: 1205.5430 · arxiv_version: 1205.5430v2 · doi: 10.48550/arxiv.1205.5430 · pith_short_12: 3WXJROBS4W6C · pith_short_16: 3WXJROBS4W6CS2WE · pith_short_8: 3WXJROBS

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/3WXJROBS4W6CS2WEYHE4AG6GIM \
  | 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: ddae98b832e5bc296ac4c1c9c01bc64313cdb6a476ddc2f1403eac265fd2d3ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "128012c32a8a5b70f9b27dbea0f2600f620f8db106bd3387769a74fe40605792",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-24T13:08:24Z",
    "title_canon_sha256": "a4ab3226e35154c92eceabf52e29b050e026049aef5130df92878108e1357d5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5430",
    "kind": "arxiv",
    "version": 2
  }
}