Pith Number

pith:GUOQ4QIQ

pith:2012:GUOQ4QIQOG66EV2AUFNEWRS7ET

not attested not anchored not stored refs pending

Some applications of the Dirichlet integrals to the summation of series and the evaluation of integrals involving the Riemann zeta function

Donal F. Connon

arxiv:1212.0441 v1 · 2012-11-30 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GUOQ4QIQOG66EV2AUFNEWRS7ET}

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	2026-05-18T03:39:17.493412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

351d0e411071bde25740a15a4b465f24ec41540a16103cecf0d7c47d9a221977

Aliases

arxiv: 1212.0441 · arxiv_version: 1212.0441v1 · doi: 10.48550/arxiv.1212.0441 · pith_short_12: GUOQ4QIQOG66 · pith_short_16: GUOQ4QIQOG66EV2A · pith_short_8: GUOQ4QIQ

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/GUOQ4QIQOG66EV2AUFNEWRS7ET \
  | 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: 351d0e411071bde25740a15a4b465f24ec41540a16103cecf0d7c47d9a221977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2840e27cc288dffbc75e092f7e03660b58dad5b1425d9bf872dca3efec90bb13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-11-30T15:47:18Z",
    "title_canon_sha256": "6d51dc35e018ff0522c1a7b9c9e2897206f008f05bb78da020c8d8469104ca2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0441",
    "kind": "arxiv",
    "version": 1
  }
}