Pith Number

pith:LXUYEACF

pith:2012:LXUYEACF6SJ6GWN3UUZQSQBWF3

not attested not anchored not stored refs pending

Extended q-Dedekind-type Daehee-Changhee sums associated with Extended q-Euler polynomials

Mehmet Acikgoz, Serkan Araci

arxiv:1211.1233 v1 · 2012-11-02 · 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{LXUYEACF6SJ6GWN3UUZQSQBWF3}

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	2026-05-17T23:41:37.754342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5de9820045f493e359bba5330940362eecf93da05b47b982e3323ed07420688a

Aliases

arxiv: 1211.1233 · arxiv_version: 1211.1233v1 · doi: 10.48550/arxiv.1211.1233 · pith_short_12: LXUYEACF6SJ6 · pith_short_16: LXUYEACF6SJ6GWN3 · pith_short_8: LXUYEACF

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/LXUYEACF6SJ6GWN3UUZQSQBWF3 \
  | 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: 5de9820045f493e359bba5330940362eecf93da05b47b982e3323ed07420688a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a712f79b6cf9bdf1a7d800628dd5be88d4a0ef7fc5f68995e6051719606fc0e1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-02T23:40:07Z",
    "title_canon_sha256": "2459699819802a371cf58083e5dfb4b10f6a157bd1d8b91aeee01c973bde08d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1233",
    "kind": "arxiv",
    "version": 1
  }
}