Pith Number

pith:3DIDXGY6

pith:2013:3DIDXGY6K4YOSYCSXS4XFR4DW7

not attested not anchored not stored refs pending

The maximum cardinality of minimal inversion complete sets in finite reflection groups

Claudia Malvenuto, Luigi Orsina, Paolo Papi, Pierluigi M\"oseneder Frajria

arxiv:1312.7687 v3 · 2013-12-30 · math.RT · 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{3DIDXGY6K4YOSYCSXS4XFR4DW7}

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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	2026-05-18T01:20:54.093613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8d03b9b1e5730e96052bcb972c783b7d64d7bcef40b704c9faed14c4ad9bf2b

Aliases

arxiv: 1312.7687 · arxiv_version: 1312.7687v3 · doi: 10.48550/arxiv.1312.7687 · pith_short_12: 3DIDXGY6K4YO · pith_short_16: 3DIDXGY6K4YOSYCS · pith_short_8: 3DIDXGY6

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/3DIDXGY6K4YOSYCSXS4XFR4DW7 \
  | 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: d8d03b9b1e5730e96052bcb972c783b7d64d7bcef40b704c9faed14c4ad9bf2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfd2c3b4c093e1c8416003613275fbe5c1226bf06192908dc19a568e360c4a4d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-12-30T11:46:27Z",
    "title_canon_sha256": "eaa8782a8e26068fc4302f9dfa52a0af47c28f2a024b7743bb9ca1e2116db349"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7687",
    "kind": "arxiv",
    "version": 3
  }
}