Pith Number

pith:A4RRINSP

pith:2018:A4RRINSP3H3UIROGG54R27BWON

not attested not anchored not stored refs pending

Ohno-type identities for multiple harmonic sums

Shin-ichiro Seki, Shuji Yamamoto

arxiv:1806.04785 v2 · 2018-06-12 · 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{A4RRINSP3H3UIROGG54R27BWON}

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	2026-05-18T00:08:35.633809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

072314364fd9f74445c637791d7c3673543225f2e89493164762f47ba3fe65b1

Aliases

arxiv: 1806.04785 · arxiv_version: 1806.04785v2 · doi: 10.48550/arxiv.1806.04785 · pith_short_12: A4RRINSP3H3U · pith_short_16: A4RRINSP3H3UIROG · pith_short_8: A4RRINSP

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/A4RRINSP3H3UIROGG54R27BWON \
  | 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: 072314364fd9f74445c637791d7c3673543225f2e89493164762f47ba3fe65b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05da56f8b1ea74251d58f79161907d43c24d3c785a123d90ccdcd21b7c15c34b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-12T22:12:35Z",
    "title_canon_sha256": "282c870e466058dee4a2c2747fb8b1cff9445e358068a97afbd96f0823e28e28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04785",
    "kind": "arxiv",
    "version": 2
  }
}