Pith Number

pith:3IME5RSG

pith:2022:3IME5RSG6IC3BBYQI6VO2W2I2C

not attested not anchored not stored refs pending

Series with summands involving harmonic numbers

Zhi-Wei Sun

arxiv:2210.07238 v9 · 2022-10-13 · 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{3IME5RSG6IC3BBYQI6VO2W2I2C}

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	2026-07-05T10:22:41.681692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da184ec646f205b0871047aaed5b48d088f1a54cc1b4035b63e4c500ddf4b495

Aliases

arxiv: 2210.07238 · arxiv_version: 2210.07238v9 · doi: 10.48550/arxiv.2210.07238 · pith_short_12: 3IME5RSG6IC3 · pith_short_16: 3IME5RSG6IC3BBYQ · pith_short_8: 3IME5RSG

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/3IME5RSG6IC3BBYQI6VO2W2I2C \
  | 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: da184ec646f205b0871047aaed5b48d088f1a54cc1b4035b63e4c500ddf4b495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0380f2e5afeb5f7b176e3910c6337d5f21f1849ce0f25e7765c34740e6f5e8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-10-13T17:59:14Z",
    "title_canon_sha256": "662079c514ff35e4c55ff34fd4de943b5897ae52f34b56a38ef87d8642f69b7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.07238",
    "kind": "arxiv",
    "version": 9
  }
}