Pith Number

pith:FMRNIP3E

pith:2017:FMRNIP3EZKPDBUOYZTLFJ6NDYO

not attested not anchored not stored refs pending

Evaluation of Harmonic Sums with Integrals

Daniele Ritelli, Vivek Kaushik

arxiv:1710.03637 v2 · 2017-10-10 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FMRNIP3EZKPDBUOYZTLFJ6NDYO}

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	2026-05-18T00:00:41.418515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b22d43f64ca9e30d1d8ccd654f9a3c3bb97e29c47f466ab85bc0181cb95bb52

Aliases

arxiv: 1710.03637 · arxiv_version: 1710.03637v2 · doi: 10.48550/arxiv.1710.03637 · pith_short_12: FMRNIP3EZKPD · pith_short_16: FMRNIP3EZKPDBUOY · pith_short_8: FMRNIP3E

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/FMRNIP3EZKPDBUOYZTLFJ6NDYO \
  | 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: 2b22d43f64ca9e30d1d8ccd654f9a3c3bb97e29c47f466ab85bc0181cb95bb52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9fecf8727409c16d578b0cd92ec49dcf8a9d1e1d0cbb0e361bed3de39ccd9b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-10T14:56:53Z",
    "title_canon_sha256": "368ab3f211934972d65fca7428a54781ab330cb5cc89f01b7094a1f7738c79e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03637",
    "kind": "arxiv",
    "version": 2
  }
}