Pith Number

pith:CGUVOLTK

pith:2026:CGUVOLTK6AZQ2LOIEYSHGDAEGI

not attested not anchored not stored refs pending

Arrangements of Consecutive Numbers in Mallows Permutations

Katarzyna Rybarczyk

arxiv:2606.12410 v1 · 2026-06-10 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGUVOLTK6AZQ2LOIEYSHGDAEGI}

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	2026-06-11T02:09:50.125963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11a9572e6af0330d2dc82624730c0432164cd39696f1946860f1eef89eeb0d59

Aliases

arxiv: 2606.12410 · arxiv_version: 2606.12410v1 · doi: 10.48550/arxiv.2606.12410 · pith_short_12: CGUVOLTK6AZQ · pith_short_16: CGUVOLTK6AZQ2LOI · pith_short_8: CGUVOLTK

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/CGUVOLTK6AZQ2LOIEYSHGDAEGI \
  | 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: 11a9572e6af0330d2dc82624730c0432164cd39696f1946860f1eef89eeb0d59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da9fbc3bc4ff4e81810073d7c7f918c5233badfd738789993cb10a6ef8a9d04a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-10T17:59:46Z",
    "title_canon_sha256": "4ea09fe6535e0d4e6362187bd82c751eac1a5ee0b0f5456ce924775bb54af315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12410",
    "kind": "arxiv",
    "version": 1
  }
}