Pith Number

pith:UJXAURZ6

pith:2019:UJXAURZ6QXBNWN6QFFF5YNRTAN

not attested not anchored not stored refs pending

Asymptotic normality of the major index on standard tableaux

Joshua P. Swanson, Matja\v{z} Konvalinka, Sara C. Billey

arxiv:1905.00975 v1 · 2019-05-02 · 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{UJXAURZ6QXBNWN6QFFF5YNRTAN}

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	2026-05-17T23:47:08.091116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a26e0a473e85c2db37d0294bdc3633034abff500a0d8969ce2889a18bc87902f

Aliases

arxiv: 1905.00975 · arxiv_version: 1905.00975v1 · doi: 10.48550/arxiv.1905.00975 · pith_short_12: UJXAURZ6QXBN · pith_short_16: UJXAURZ6QXBNWN6Q · pith_short_8: UJXAURZ6

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/UJXAURZ6QXBNWN6QFFF5YNRTAN \
  | 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: a26e0a473e85c2db37d0294bdc3633034abff500a0d8969ce2889a18bc87902f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "487fae2da37057ec89434c0e8ec935be3ff121611299029a361b79e00daa7765",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-02T21:41:01Z",
    "title_canon_sha256": "870eb640fee4f1cdc7c9233e28198f95c55ea6cd7bc8b002f1ab98edc85f3505"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.00975",
    "kind": "arxiv",
    "version": 1
  }
}