Pith Number

pith:WEK6RX3I

pith:2025:WEK6RX3ISX4CVE6ZHDV7GGX2K7

not attested not anchored not stored refs pending

Descents and flag major index on conjugacy classes of colored permutation groups without short cycles

Kevin Liu, Mei Yin

arxiv:2503.02990 v2 · 2025-03-04 · 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{WEK6RX3ISX4CVE6ZHDV7GGX2K7}

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	2026-07-05T11:44:01.907569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b115e8df6895f82a93d938ebf31afa57fe210f332a74e75c5b25c0bf522dc3f2

Aliases

arxiv: 2503.02990 · arxiv_version: 2503.02990v2 · doi: 10.48550/arxiv.2503.02990 · pith_short_12: WEK6RX3ISX4C · pith_short_16: WEK6RX3ISX4CVE6Z · pith_short_8: WEK6RX3I

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/WEK6RX3ISX4CVE6ZHDV7GGX2K7 \
  | 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: b115e8df6895f82a93d938ebf31afa57fe210f332a74e75c5b25c0bf522dc3f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5937a74679ee0b0d7f60d4f4063fb5bbb8cd45b7b242384d7105718b7882a32a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-04T20:33:14Z",
    "title_canon_sha256": "b3c0fd62ca3f58203169930b8eb30f999da2113cf0c3f547ce44c62dc5b166e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.02990",
    "kind": "arxiv",
    "version": 2
  }
}