Pith Number

pith:HSGNCQQF

pith:2014:HSGNCQQFWJBQIS6Z2UEXG5AXU3

not attested not anchored not stored refs pending

Combinatorial Interpretation of General Eulerian Numbers

Hung-ping Tsao, Jonathan I. Hall, Tingyao Xiong

arxiv:1406.7317 v1 · 2014-06-27 · 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{HSGNCQQFWJBQIS6Z2UEXG5AXU3}

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	2026-05-18T02:48:45.638892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c8cd14205b243044bd9d509737417a6ed88c9ef9b683677d230aafb292ab9b0

Aliases

arxiv: 1406.7317 · arxiv_version: 1406.7317v1 · doi: 10.48550/arxiv.1406.7317 · pith_short_12: HSGNCQQFWJBQ · pith_short_16: HSGNCQQFWJBQIS6Z · pith_short_8: HSGNCQQF

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/HSGNCQQFWJBQIS6Z2UEXG5AXU3 \
  | 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: 3c8cd14205b243044bd9d509737417a6ed88c9ef9b683677d230aafb292ab9b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d159732772bfc05e6054770979865ed1b5f54e62e9b63711e8dd6da78364baf0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-27T21:00:15Z",
    "title_canon_sha256": "2d1413b6cfca8c320def4a11908fdea226d62f54b4ff69c48e0a3a02b637051f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7317",
    "kind": "arxiv",
    "version": 1
  }
}