Pith Number

pith:RJFWISTK

pith:2026:RJFWISTKV7KSLMY4S25KFJE2KY

not attested not anchored not stored refs pending

An analogue of Hirose's relation for finite multiple harmonic $q$-series at roots of unity

Takumi Maesaka

arxiv:2608.09806 v1 · 2026-08-10 · 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{RJFWISTKV7KSLMY4S25KFJE2KY}

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	2026-08-11T02:25:08.313505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a4b644a6aafd525b31c96baa2a49a563f3210056a3d0e5ced56e466aecd5116

Aliases

arxiv: 2608.09806 · arxiv_version: 2608.09806v1 · doi: 10.48550/arxiv.2608.09806 · pith_short_12: RJFWISTKV7KS · pith_short_16: RJFWISTKV7KSLMY4 · pith_short_8: RJFWISTK

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/RJFWISTKV7KSLMY4S25KFJE2KY \
  | 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: 8a4b644a6aafd525b31c96baa2a49a563f3210056a3d0e5ced56e466aecd5116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71a02afba4bd4623d4a2afff5749f3013d562748cee4954c5886ee64d4eab66c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-10T16:29:09Z",
    "title_canon_sha256": "7365f22854aa121ee66a8897e0cbab7141f1a1d0692fbe66ea90d02e0dfb691e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09806",
    "kind": "arxiv",
    "version": 1
  }
}