Pith Number

pith:G4OPGEMY

pith:2016:G4OPGEMYEYZDPLJMN2PKSUHQAH

not attested not anchored not stored refs pending

Integral representations of equally positive integer-indexed harmonic sums at infinity

Lin Jiu

arxiv:1611.04102 v2 · 2016-11-13 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G4OPGEMYEYZDPLJMN2PKSUHQAH}

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	2026-05-18T00:44:45.830943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

371cf31198263237ad2c6e9ea950f001f0937f68b9629a23f82edf4cd02d891c

Aliases

arxiv: 1611.04102 · arxiv_version: 1611.04102v2 · doi: 10.48550/arxiv.1611.04102 · pith_short_12: G4OPGEMYEYZD · pith_short_16: G4OPGEMYEYZDPLJM · pith_short_8: G4OPGEMY

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/G4OPGEMYEYZDPLJMN2PKSUHQAH \
  | 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: 371cf31198263237ad2c6e9ea950f001f0937f68b9629a23f82edf4cd02d891c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b77ff330752284f3816b588a05fda1617ab0dfde7dc397955524b43c4cae0c1b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-13T08:23:16Z",
    "title_canon_sha256": "36b445d9d840a15a600cb17bea3c7f4ac29d521c9255c0e521a19f74ab10fc27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04102",
    "kind": "arxiv",
    "version": 2
  }
}