Pith Number

pith:RA2LNVJG

pith:2019:RA2LNVJGB5DGAZP6ZDJINUBLDY

not attested not anchored not stored refs pending

Some Observations on Lambert series, vanishing coefficients and dissections of infinite products and series

James Mc Laughlin

arxiv:1906.11978 v1 · 2019-06-27 · 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{RA2LNVJGB5DGAZP6ZDJINUBLDY}

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	2026-05-17T23:41:59.624085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8834b6d5260f466065fec8d286d02b1e1f73fc1c9a8c2d14bad520f2aff6340d

Aliases

arxiv: 1906.11978 · arxiv_version: 1906.11978v1 · doi: 10.48550/arxiv.1906.11978 · pith_short_12: RA2LNVJGB5DG · pith_short_16: RA2LNVJGB5DGAZP6 · pith_short_8: RA2LNVJG

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/RA2LNVJGB5DGAZP6ZDJINUBLDY \
  | 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: 8834b6d5260f466065fec8d286d02b1e1f73fc1c9a8c2d14bad520f2aff6340d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdb61e646d8334c37a977163153606e58d288fc9b8008481a31bf0574f3e5fb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-27T21:45:45Z",
    "title_canon_sha256": "117015616b236959636e77ce9dc7b1a6d3c8c1274d37ffe2e1cc583146078711"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11978",
    "kind": "arxiv",
    "version": 1
  }
}