Pith Number

pith:QEC222YE

pith:2013:QEC222YEXTXZDAODRPZ7CI4ZMD

not attested not anchored not stored refs pending

A note on symmetric properties of the multiple q-Euler zeta functions and higher-order q-Euler polynomials

Dae San Kim, Taekyun Kim

arxiv:1312.6977 v1 · 2013-12-25 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QEC222YEXTXZDAODRPZ7CI4ZMD}

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	2026-05-18T03:03:46.251854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8105ad6b04bcef9181c38bf3f1239960e54a24cd2edaae89bb2b3afc1bfd86e9

Aliases

arxiv: 1312.6977 · arxiv_version: 1312.6977v1 · doi: 10.48550/arxiv.1312.6977 · pith_short_12: QEC222YEXTXZ · pith_short_16: QEC222YEXTXZDAOD · pith_short_8: QEC222YE

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/QEC222YEXTXZDAODRPZ7CI4ZMD \
  | 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: 8105ad6b04bcef9181c38bf3f1239960e54a24cd2edaae89bb2b3afc1bfd86e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38d68618bccd93ab3c64e017d5e8ac2b748122517ea75c05aeb577381d04e5f7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-25T14:19:04Z",
    "title_canon_sha256": "c62fbbc480f5262d9924e95ba55e99d4f666e0848a920cb7e52cb086273cad6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6977",
    "kind": "arxiv",
    "version": 1
  }
}