Pith Number

pith:GQ4MNK6A

pith:2020:GQ4MNK6AYT74FXZBOFI2PED2JU

not attested not anchored not stored refs pending

On four families of power series involving harmonic numbers and central binomial coefficients

D. Romberger, H. J. Bentz, J. Braun

arxiv:2006.13115 v1 · 2020-06-23 · 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{GQ4MNK6AYT74FXZBOFI2PED2JU}

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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.

Cited by

1 paper in Pith

Evaluation of eight different families of cubic Euler sums

Receipt and verification

First computed	2026-07-05T01:12:53.288773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3438c6abc0c4ffc2df217151a7907a4d08bbede5b6733d1f0329ff69b6034f3f

Aliases

arxiv: 2006.13115 · arxiv_version: 2006.13115v1 · doi: 10.48550/arxiv.2006.13115 · pith_short_12: GQ4MNK6AYT74 · pith_short_16: GQ4MNK6AYT74FXZB · pith_short_8: GQ4MNK6A

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/GQ4MNK6AYT74FXZBOFI2PED2JU \
  | 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: 3438c6abc0c4ffc2df217151a7907a4d08bbede5b6733d1f0329ff69b6034f3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5657b06c9e3a6ee0a8c75e3f946354face1764b0e82c843c51c4613381198fc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-06-23T16:08:45Z",
    "title_canon_sha256": "4cd9d2d508729608bd071611d20039dd30852d2b1d30f01365b591ed2101bf29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.13115",
    "kind": "arxiv",
    "version": 1
  }
}