Pith Number

pith:T5KNFFYA

pith:2013:T5KNFFYA3QWCEBPGE336ZZMBMO

not attested not anchored not stored refs pending

A combinatorial proof of a symmetry of $(t,q)$-Eulerian numbers of type $B$ and type $D$

Kyoungsuk Park, Soojin Cho

arxiv:1309.5809 v3 · 2013-09-23 · 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{T5KNFFYA3QWCEBPGE336ZZMBMO}

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	2026-05-18T01:24:11.370922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f54d29700dc2c2205e626f7ece58163aa6888e1b43f5f21d75869ed049b4bee

Aliases

arxiv: 1309.5809 · arxiv_version: 1309.5809v3 · doi: 10.48550/arxiv.1309.5809 · pith_short_12: T5KNFFYA3QWC · pith_short_16: T5KNFFYA3QWCEBPG · pith_short_8: T5KNFFYA

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/T5KNFFYA3QWCEBPGE336ZZMBMO \
  | 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: 9f54d29700dc2c2205e626f7ece58163aa6888e1b43f5f21d75869ed049b4bee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d06988674ce417bfa0444eec8404ae0eab11627cb072e1cd24a1379da84cc5da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-23T14:01:39Z",
    "title_canon_sha256": "76f1fa477662f10cbbdd7a48b415f33a971894c1324b2dcd100b4cbe6ba8ba03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5809",
    "kind": "arxiv",
    "version": 3
  }
}