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Pith Number

pith:P5X3GLSS

pith:2014:P5X3GLSSKZMORKK7KHUDUJXLGI
not attested not anchored not stored refs pending

Several variants of the Dumont differential system and permutation statistics

David G.L. Wang, Shi-Mei Ma, Toufik Mansour, Yeong-Nan Yeh

arxiv:1403.0233 v2 · 2014-03-02 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{P5X3GLSSKZMORKK7KHUDUJXLGI}

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 2026-05-18T00:25:35.233170Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7f6fb32e525658e8a95f51e83a26eb322d5242859e1b2aeb10ab5546a2b97d61

Aliases

arxiv: 1403.0233 · arxiv_version: 1403.0233v2 · doi: 10.48550/arxiv.1403.0233 · pith_short_12: P5X3GLSSKZMO · pith_short_16: P5X3GLSSKZMORKK7 · pith_short_8: P5X3GLSS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/P5X3GLSSKZMORKK7KHUDUJXLGI \
  | 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: 7f6fb32e525658e8a95f51e83a26eb322d5242859e1b2aeb10ab5546a2b97d61
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4e354c554d233534483afed52e8af106d68fe361215b8910b64f64966c906813",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-02T16:27:08Z",
    "title_canon_sha256": "16045c999dba0951d9284cc2e4a50199a0a172af7631bc9f3f3e35a4065fe9a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0233",
    "kind": "arxiv",
    "version": 2
  }
}