Pith Number

pith:WPLYIHE3

pith:2014:WPLYIHE3MW3ZHTXX2DXJODUWQ5

not attested not anchored not stored refs pending

Identities of symmetry for expansion of q-Euler polynomials

Dae San Kim, Tae Gyun Kim

arxiv:1401.3161 v1 · 2014-01-14 · 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{WPLYIHE3MW3ZHTXX2DXJODUWQ5}

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	2026-05-18T03:02:19.467718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3d7841c9b65b793cef7d0ee970e9687722a1789c04787a705586a29478a8269

Aliases

arxiv: 1401.3161 · arxiv_version: 1401.3161v1 · doi: 10.48550/arxiv.1401.3161 · pith_short_12: WPLYIHE3MW3Z · pith_short_16: WPLYIHE3MW3ZHTXX · pith_short_8: WPLYIHE3

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/WPLYIHE3MW3ZHTXX2DXJODUWQ5 \
  | 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: b3d7841c9b65b793cef7d0ee970e9687722a1789c04787a705586a29478a8269

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6361229256cec87e2b663be91162d28ade6fb96da73a09cdcbd123e7cf5235e1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-14T12:18:47Z",
    "title_canon_sha256": "465ce7d337cc90a18f2a265bd815ee8d01f2fd8d106aa5536a7d704f1912dbdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3161",
    "kind": "arxiv",
    "version": 1
  }
}