Pith Number

pith:XKDN6FUJ

pith:2018:XKDN6FUJ6PGNJBX5VTPG5N27RT

not attested not anchored not stored refs pending

On indefinite sums weighted by periodic sequences

Jean-Luc Marichal

arxiv:1804.06418 v2 · 2018-04-17 · math.CO · cs.DM · 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{XKDN6FUJ6PGNJBX5VTPG5N27RT}

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	2026-05-17T23:46:41.922663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba86df1689f3ccd486fdacde6eb75f8ccb01879c327fc4827fbdd50a5371b68e

Aliases

arxiv: 1804.06418 · arxiv_version: 1804.06418v2 · doi: 10.48550/arxiv.1804.06418 · pith_short_12: XKDN6FUJ6PGN · pith_short_16: XKDN6FUJ6PGNJBX5 · pith_short_8: XKDN6FUJ

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/XKDN6FUJ6PGNJBX5VTPG5N27RT \
  | 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: ba86df1689f3ccd486fdacde6eb75f8ccb01879c327fc4827fbdd50a5371b68e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bc81244db968205123c0576a2c58446d808668953cce3628fedf1331ce52f1c",
    "cross_cats_sorted": [
      "cs.DM",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-17T18:06:05Z",
    "title_canon_sha256": "dc79e8e596c74ef39ed997e40ec99c89af1acab350223e2ae0fe5b35cfbb9f2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06418",
    "kind": "arxiv",
    "version": 2
  }
}