Pith Number

pith:2TRPIR74

pith:2011:2TRPIR74QIEOZXHGSY7NWPS6K7

not attested not anchored not stored refs pending

Flag weak order on wreath products

Francesco Brenti, Ron M. Adin, Yuval Roichman

arxiv:1106.0428 v2 · 2011-06-02 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TRPIR74QIEOZXHGSY7NWPS6K7}

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	2026-05-18T03:45:01.088932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4e2f447fc8208ecdce6963edb3e5e57e73380698dba76b911b0aaa9668c77bc

Aliases

arxiv: 1106.0428 · arxiv_version: 1106.0428v2 · doi: 10.48550/arxiv.1106.0428 · pith_short_12: 2TRPIR74QIEO · pith_short_16: 2TRPIR74QIEOZXHG · pith_short_8: 2TRPIR74

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/2TRPIR74QIEOZXHGSY7NWPS6K7 \
  | 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: d4e2f447fc8208ecdce6963edb3e5e57e73380698dba76b911b0aaa9668c77bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d5c72802409e9437a8a0e59aa5a25f7ad73647800e364ec62825408dd8a1c0c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-02T13:37:55Z",
    "title_canon_sha256": "4109065a3539c1f0f70edf9f50195dc3ebb8cd2c55c2ddafa7905c33dfd42a1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0428",
    "kind": "arxiv",
    "version": 2
  }
}