Pith Number

pith:W4N45JJQ

pith:2015:W4N45JJQRVHDBCOGMHTYTSMM52

not attested not anchored not stored refs pending

Multiple-correction and summation of the rational series

Cristinel Mortici, Xiaodong Cao

arxiv:1511.00198 v1 · 2015-11-01 · 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{W4N45JJQRVHDBCOGMHTYTSMM52}

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	2026-05-18T01:28:12.957197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b71bcea5308d4e3089c661e789c98cee846335788d68f74639d2b21e3121a7b4

Aliases

arxiv: 1511.00198 · arxiv_version: 1511.00198v1 · doi: 10.48550/arxiv.1511.00198 · pith_short_12: W4N45JJQRVHD · pith_short_16: W4N45JJQRVHDBCOG · pith_short_8: W4N45JJQ

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/W4N45JJQRVHDBCOGMHTYTSMM52 \
  | 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: b71bcea5308d4e3089c661e789c98cee846335788d68f74639d2b21e3121a7b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ca68eb0a0b092ddae0b80e484bfb8263c3c395bba4cf8219334a34042262c67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-01T01:35:55Z",
    "title_canon_sha256": "d42c280c8499f2820ee8afd4f57bd4feb4a7ccafe3ae45817ace35d1a7fea53d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00198",
    "kind": "arxiv",
    "version": 1
  }
}