Pith Number

pith:X5RG7BPR

pith:2017:X5RG7BPRZWAICNYMRYY7MRN7GF

not attested not anchored not stored refs pending

Signed Countings of types B and D permutations and $t,q$-Euler Numbers

Hsiang-Chun Hsu, Hsin-Chieh Liao, Sen-Peng Eu, Tung-Shan Fu

arxiv:1708.05518 v2 · 2017-08-18 · 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{X5RG7BPRZWAICNYMRYY7MRN7GF}

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	2026-05-18T00:24:30.821595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf626f85f1cd8081370c8e31f645bf3169548b3a3e68b42c01012369e92f6483

Aliases

arxiv: 1708.05518 · arxiv_version: 1708.05518v2 · doi: 10.48550/arxiv.1708.05518 · pith_short_12: X5RG7BPRZWAI · pith_short_16: X5RG7BPRZWAICNYM · pith_short_8: X5RG7BPR

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/X5RG7BPRZWAICNYMRYY7MRN7GF \
  | 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: bf626f85f1cd8081370c8e31f645bf3169548b3a3e68b42c01012369e92f6483

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6853228759f0cc41fa3ca7a9bea29d3d528047984f73a5999a417523c282516",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-18T06:51:29Z",
    "title_canon_sha256": "d5147a32295c4b913357569aefac8f9a7c756ca01b35819caeda6616d83c8ec6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05518",
    "kind": "arxiv",
    "version": 2
  }
}