Pith Number

pith:ETX7TV7D

pith:2009:ETX7TV7DLDZPNLTN7FZZDSYTDH

not attested not anchored not stored refs pending

Special Functions Related to Dedekind Type DC-Sums and their Applications

Yilmaz Simsek

arxiv:0902.0380 v1 · 2009-02-02 · math.CV · 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{ETX7TV7DLDZPNLTN7FZZDSYTDH}

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	2026-05-18T00:00:37.483765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24eff9d7e358f2f6ae6df97391cb1319c584961fba14d24d13cdcc26b6a11bec

Aliases

arxiv: 0902.0380 · arxiv_version: 0902.0380v1 · doi: 10.48550/arxiv.0902.0380 · pith_short_12: ETX7TV7DLDZP · pith_short_16: ETX7TV7DLDZPNLTN · pith_short_8: ETX7TV7D

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/ETX7TV7DLDZPNLTN7FZZDSYTDH \
  | 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: 24eff9d7e358f2f6ae6df97391cb1319c584961fba14d24d13cdcc26b6a11bec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c564d502daa5a39d77ffa91b3bc9fd9dbdb2db5815ec005509cd67b5e33afdcd",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-02-02T21:33:58Z",
    "title_canon_sha256": "ab67568ccf6624f86c0cad87ef39c04f8e72e3816017b60766e9448c7ba37896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0380",
    "kind": "arxiv",
    "version": 1
  }
}