Pith Number

pith:IQT2MYV7

pith:2013:IQT2MYV7RLG4SP6FULTFR5AVKN

not attested not anchored not stored refs pending

Some identities of q-Euler polynomials arising from q-umbral calculus

Dae San Kim, Taekyun Kim

arxiv:1306.6901 v1 · 2013-06-28 · 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{IQT2MYV7RLG4SP6FULTFR5AVKN}

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	2026-05-18T03:19:35.838517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4427a662bf8acdc93fc5a2e658f415537e2d89deb339a90afa8e1d8f8b644cdd

Aliases

arxiv: 1306.6901 · arxiv_version: 1306.6901v1 · doi: 10.48550/arxiv.1306.6901 · pith_short_12: IQT2MYV7RLG4 · pith_short_16: IQT2MYV7RLG4SP6F · pith_short_8: IQT2MYV7

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/IQT2MYV7RLG4SP6FULTFR5AVKN \
  | 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: 4427a662bf8acdc93fc5a2e658f415537e2d89deb339a90afa8e1d8f8b644cdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7035131b557369be107e8388036a4711b9b7eb2582ceb45bcfc2d88fd7cbf7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-28T17:22:48Z",
    "title_canon_sha256": "002a256cb4c7914b84ea7bdd8f8d076d46b600fea3a4fe60d2907a00057ed05e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6901",
    "kind": "arxiv",
    "version": 1
  }
}