Pith Number

pith:UGDE445K

pith:2012:UGDE445KRFQSZ3M3U6RCEOQTUX

not attested not anchored not stored refs pending

On some generalized $q$-Eulerian polynomials

Zhicong Lin

arxiv:1211.6359 v2 · 2012-11-27 · 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{UGDE445KRFQSZ3M3U6RCEOQTUX}

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	2026-05-18T03:31:29.204818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1864e73aa89612ced9ba7a2223a13a5c6390a0d3b4dcaab8328c9d868f5d50e

Aliases

arxiv: 1211.6359 · arxiv_version: 1211.6359v2 · doi: 10.48550/arxiv.1211.6359 · pith_short_12: UGDE445KRFQS · pith_short_16: UGDE445KRFQSZ3M3 · pith_short_8: UGDE445K

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/UGDE445KRFQSZ3M3U6RCEOQTUX \
  | 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: a1864e73aa89612ced9ba7a2223a13a5c6390a0d3b4dcaab8328c9d868f5d50e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b044087412891351f258cb1ed8831e481caa60756cad23fd96573beb5478809",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-27T16:55:49Z",
    "title_canon_sha256": "a73ee6fd3a11e75d49e6160e26bb8dfee32914a6b9cb23deed9b43df5af0ede0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6359",
    "kind": "arxiv",
    "version": 2
  }
}