Pith Number

pith:O4XAICTN

pith:2014:O4XAICTNM4ECQYTGY5TWGYRLOS

not attested not anchored not stored refs pending

The sorting index and set-valued joint equidistributions of $\mathcal{B}_n$ and $\mathcal{D}_n$

Sen-Peng Eu, Tsai-Lien Wong, Yuan-Hsun Lo

arxiv:1403.2169 v2 · 2014-03-10 · 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{O4XAICTNM4ECQYTGY5TWGYRLOS}

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	2026-05-18T02:41:26.050329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

772e040a6d6708286266c76763622b7486aaa24228b5f08561cd336135852864

Aliases

arxiv: 1403.2169 · arxiv_version: 1403.2169v2 · doi: 10.48550/arxiv.1403.2169 · pith_short_12: O4XAICTNM4EC · pith_short_16: O4XAICTNM4ECQYTG · pith_short_8: O4XAICTN

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/O4XAICTNM4ECQYTGY5TWGYRLOS \
  | 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: 772e040a6d6708286266c76763622b7486aaa24228b5f08561cd336135852864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bb9c38a4631080993b82e13c365c9e8053cd4e56dfde9e7d2bb7e661756667b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-10T08:53:10Z",
    "title_canon_sha256": "0e717732c30a962558c411d2f69802f3bf3042b9228b41d2d07e885c012af33d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2169",
    "kind": "arxiv",
    "version": 2
  }
}