Pith Number

pith:QRJGHHZN

pith:2024:QRJGHHZN2WXXIP2LEYIVQIMLW4

not attested not anchored not stored refs pending

Deriving two dualities simultaneously from a family of identities for multiple harmonic sums

Shin-ichiro Seki, Taiki Watanabe, Takumi Maesaka

arxiv:2402.05730 v2 · 2024-02-08 · 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{QRJGHHZN2WXXIP2LEYIVQIMLW4}

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.

Cited by

2 papers in Pith

Applications of a formula of Maesaka-Seki-Watanabe type for multiple harmonic $q$-sums

A unified proof of conjectures on the spaces of multiple $q$-zeta values

Receipt and verification

First computed	2026-07-05T07:50:23.379618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8452639f2dd5af743f4b261158218bb731dabea74a6a34a0594651d0ee37a4ec

Aliases

arxiv: 2402.05730 · arxiv_version: 2402.05730v2 · doi: 10.48550/arxiv.2402.05730 · pith_short_12: QRJGHHZN2WXX · pith_short_16: QRJGHHZN2WXXIP2L · pith_short_8: QRJGHHZN

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/QRJGHHZN2WXXIP2LEYIVQIMLW4 \
  | 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: 8452639f2dd5af743f4b261158218bb731dabea74a6a34a0594651d0ee37a4ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba8090b0aa6d94517a2d1d70b83d2e49be8ae5004dbf029eef945a6515231af6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-02-08T15:05:49Z",
    "title_canon_sha256": "7e17963df9ac68c7cb258a0f30f775a55e605f88e1aaea8e6b239c0e365ba05b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.05730",
    "kind": "arxiv",
    "version": 2
  }
}