Pith Number

pith:TVFBZ4A7

pith:2026:TVFBZ4A7JOI7WNW2UYZT5WPUIS

not attested not anchored not stored refs pending

An identity for second Eulerian numbers via lattice-point counting

Jack Boncompagni

arxiv:2605.24586 v1 · 2026-05-23 · 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{TVFBZ4A7JOI7WNW2UYZT5WPUIS}

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	2026-05-26T01:03:47.593378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d4a1cf01f4b91fb36daa6333ed9f4449ef3023fc61aea6eeb0d4d3bab110949

Aliases

arxiv: 2605.24586 · arxiv_version: 2605.24586v1 · doi: 10.48550/arxiv.2605.24586 · pith_short_12: TVFBZ4A7JOI7 · pith_short_16: TVFBZ4A7JOI7WNW2 · pith_short_8: TVFBZ4A7

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/TVFBZ4A7JOI7WNW2UYZT5WPUIS \
  | 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: 9d4a1cf01f4b91fb36daa6333ed9f4449ef3023fc61aea6eeb0d4d3bab110949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "172d57ef5664306f41d35e446ba699cce3bbdef6f3c78064a7eee37ac9820a47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-23T13:55:28Z",
    "title_canon_sha256": "32775897d252aea613e467263b73200354f234ec868f6935f269918cd31dd7c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24586",
    "kind": "arxiv",
    "version": 1
  }
}