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Pith Number

pith:CHFPXYZO

pith:2015:CHFPXYZOKBYCU4QV2TVHASKCXC
not attested not anchored not stored refs pending

Plane permutations and applications to a result of Zagier-Stanley and distances of permutations

Christian M. Reidys, Ricky X. F. Chen

arxiv:1502.07674 v4 · 2015-02-26 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CHFPXYZOKBYCU4QV2TVHASKCXC}

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 2026-05-18T01:07:57.112479Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

11cafbe32e50702a7215d4ea704942b8820a5d0d20edaa6a428a10033277919e

Aliases

arxiv: 1502.07674 · arxiv_version: 1502.07674v4 · doi: 10.48550/arxiv.1502.07674 · pith_short_12: CHFPXYZOKBYC · pith_short_16: CHFPXYZOKBYCU4QV · pith_short_8: CHFPXYZO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CHFPXYZOKBYCU4QV2TVHASKCXC \
  | 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: 11cafbe32e50702a7215d4ea704942b8820a5d0d20edaa6a428a10033277919e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "31bb3eb531b8a49c87f91f8ce92ff42af192a3f825961a452b7cd2199fd0c5b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-26T18:46:50Z",
    "title_canon_sha256": "606da06bc9a40208c511b8b18be519363ea4805ac225f6be18291aaed24a433a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07674",
    "kind": "arxiv",
    "version": 4
  }
}