Pith Number

pith:TYQJT777

pith:2008:TYQJT777HLA74V54ER4CSI4MTC

not attested not anchored not stored refs pending

Sums of Zeros for Certain Special Functions

Ruiming Zhang

arxiv:0804.4210 v6 · 2008-04-28 · math.CA · 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{TYQJT777HLA74V54ER4CSI4MTC}

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	2026-05-18T02:37:45.124611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e2099ffff3ac1fe57bc247829238c98a1cd5aa1fd923adcaef1e06d839ad14f

Aliases

arxiv: 0804.4210 · arxiv_version: 0804.4210v6 · doi: 10.48550/arxiv.0804.4210 · pith_short_12: TYQJT777HLA7 · pith_short_16: TYQJT777HLA74V54 · pith_short_8: TYQJT777

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/TYQJT777HLA74V54ER4CSI4MTC \
  | 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: 9e2099ffff3ac1fe57bc247829238c98a1cd5aa1fd923adcaef1e06d839ad14f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e178c3896b1910a36b7a4a40d980dd52ed2d53b9390465bf1d4d70e8a714d9e6",
    "cross_cats_sorted": [
      "math.CV",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-04-28T09:36:59Z",
    "title_canon_sha256": "1aadcbb91dad9daf5979ce91ad4634749de7eb6bde7ca074454f920d1c159862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.4210",
    "kind": "arxiv",
    "version": 6
  }
}