Pith Number

pith:4TEFNARY

pith:2015:4TEFNARYHNQOCMUJSWA3AP72XY

not attested not anchored not stored refs pending

Some identities of symmetry for q-Euler polynomials under the symmetric group of degeree n arising from fermionic p-adic q-integrals on Zp

Dae San Kim, Dmitry V. Dolgy, Taekyun Kim

arxiv:1504.05801 v1 · 2015-04-22 · 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{4TEFNARYHNQOCMUJSWA3AP72XY}

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	2026-05-18T02:18:05.061284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4c85682383b60e132899581b03ffabe17244d4bed208fa447caa4829e83c9fa

Aliases

arxiv: 1504.05801 · arxiv_version: 1504.05801v1 · doi: 10.48550/arxiv.1504.05801 · pith_short_12: 4TEFNARYHNQO · pith_short_16: 4TEFNARYHNQOCMUJ · pith_short_8: 4TEFNARY

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/4TEFNARYHNQOCMUJSWA3AP72XY \
  | 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: e4c85682383b60e132899581b03ffabe17244d4bed208fa447caa4829e83c9fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71bc021c8fc4c6278671e6ef903d586f4862c131b1c3d1c107c9f6082dab6206",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-22T13:43:57Z",
    "title_canon_sha256": "6976774c011bd9e6577d90301ad9e7e58610c3131e1213245af11948f9c26e5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05801",
    "kind": "arxiv",
    "version": 1
  }
}