Pith Number

pith:WH5WLOAO

pith:2019:WH5WLOAO6L7MH76JOJXLKVLPE2

not attested not anchored not stored refs pending

Permutations of type $B$ with fixed number of descents and minus signs

Katarzyna Kril, Wojciech M{\l}otkowski

arxiv:1905.10875 v1 · 2019-05-26 · 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{WH5WLOAO6L7MH76JOJXLKVLPE2}

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	2026-05-17T23:45:03.537935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1fb65b80ef2fec3ffc9726eb5556f26bc5d98bbbe48484e410ae723e4cf6ae1

Aliases

arxiv: 1905.10875 · arxiv_version: 1905.10875v1 · doi: 10.48550/arxiv.1905.10875 · pith_short_12: WH5WLOAO6L7M · pith_short_16: WH5WLOAO6L7MH76J · pith_short_8: WH5WLOAO

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/WH5WLOAO6L7MH76JOJXLKVLPE2 \
  | 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: b1fb65b80ef2fec3ffc9726eb5556f26bc5d98bbbe48484e410ae723e4cf6ae1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "725644c91f7d31a257c1c563d4c18868a88f2aea580fc1df44535cb206f45804",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-26T20:37:27Z",
    "title_canon_sha256": "187d2f3eb2babe94f37a60536d7f71ae6ed89d509e483631740b6d809ca6f67e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10875",
    "kind": "arxiv",
    "version": 1
  }
}