Pith Number

pith:SMOZBFXS

pith:2012:SMOZBFXS6DA6VAID5LC5F6SBDK

not attested not anchored not stored refs pending

Extended Fermionic p-Adic q-Integrals On Zp In Connection With Applications Of Umbral Calculus

Erdo\u{g}an \c{S}en, Mehmet Acikgoz, Serkan Araci

arxiv:1211.6978 v2 · 2012-11-29 · 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{SMOZBFXS6DA6VAID5LC5F6SBDK}

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	2026-05-18T03:12:48.458066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

931d9096f2f0c1ea8103eac5d2fa411ab5ccc13ec9833d73184cb7d135fd1882

Aliases

arxiv: 1211.6978 · arxiv_version: 1211.6978v2 · doi: 10.48550/arxiv.1211.6978 · pith_short_12: SMOZBFXS6DA6 · pith_short_16: SMOZBFXS6DA6VAID · pith_short_8: SMOZBFXS

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/SMOZBFXS6DA6VAID5LC5F6SBDK \
  | 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: 931d9096f2f0c1ea8103eac5d2fa411ab5ccc13ec9833d73184cb7d135fd1882

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d84c3e063f19aa61b796dbc7813eb6b24b273a704ae4eae20436d86f68a2eb68",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-29T16:48:50Z",
    "title_canon_sha256": "33220e214d6f5a425af86b84f8f39fe749fee923e6cbe81b57a5b98dc7e78b1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6978",
    "kind": "arxiv",
    "version": 2
  }
}