Pith Number

pith:VRCNAZ6Q

pith:2013:VRCNAZ6QPJK5Q63VXA5MNJ32KU

not attested not anchored not stored refs pending

A new statistic on the hyperoctahedral groups

Alexander Stasinski, Christopher Voll

arxiv:1303.0990 v1 · 2013-03-05 · 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{VRCNAZ6QPJK5Q63VXA5MNJ32KU}

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	2026-05-18T03:31:53.231967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac44d067d07a55d87b75b83ac6a77a5538803017aeb246a6117f75b45065abfa

Aliases

arxiv: 1303.0990 · arxiv_version: 1303.0990v1 · doi: 10.48550/arxiv.1303.0990 · pith_short_12: VRCNAZ6QPJK5 · pith_short_16: VRCNAZ6QPJK5Q63V · pith_short_8: VRCNAZ6Q

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/VRCNAZ6QPJK5Q63VXA5MNJ32KU \
  | 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: ac44d067d07a55d87b75b83ac6a77a5538803017aeb246a6117f75b45065abfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9637b983170a45be3a31c6d3f5d42f00e2999c5074958d6bdcb165d4a62ea32",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-05T11:30:51Z",
    "title_canon_sha256": "95cfb19c1fb0fc8699ae4924256f9aa20dc64c39b48c9efccf7730126182910d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0990",
    "kind": "arxiv",
    "version": 1
  }
}