Pith Number

pith:CBWIABFS

pith:2019:CBWIABFSWLXUNSO36XKOY2OEZ6

not attested not anchored not stored refs pending

A new refinement of Euler numbers on counting alternating permutations

Masato Kobayashi

arxiv:1908.00701 v2 · 2019-08-02 · 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{CBWIABFSWLXUNSO36XKOY2OEZ6}

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	2026-07-05T01:51:36.855180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

106c8004b2b2ef46c9dbf5d4ec69c4cfbc635137b3ec4b5893d68d343235cf58

Aliases

arxiv: 1908.00701 · arxiv_version: 1908.00701v2 · doi: 10.48550/arxiv.1908.00701 · pith_short_12: CBWIABFSWLXU · pith_short_16: CBWIABFSWLXUNSO3 · pith_short_8: CBWIABFS

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/CBWIABFSWLXUNSO36XKOY2OEZ6 \
  | 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: 106c8004b2b2ef46c9dbf5d4ec69c4cfbc635137b3ec4b5893d68d343235cf58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4881c00026167603e977cc6e5c3f2778ba2d032085047464a220319ffa17dd5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-02T04:27:46Z",
    "title_canon_sha256": "0486d7d287eda6cf7e8c015c846f93d959031c337a0c9786c5c7ef0c43082c58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00701",
    "kind": "arxiv",
    "version": 2
  }
}