Pith Number

pith:ZLGIJ36T

pith:2019:ZLGIJ36TPO6JW2JJYTREXG4SZV

not attested not anchored not stored refs pending

Notes on theta series for Niemeier lattices II

Shoyu Nagaoka

arxiv:1907.04056 v1 · 2019-07-09 · 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{ZLGIJ36TPO6JW2JJYTREXG4SZV}

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	2026-05-17T23:41:05.820919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cacc84efd37bbc9b6929c4e24b9b92cd4e48e1f9d0831eaaa375522ab5c07906

Aliases

arxiv: 1907.04056 · arxiv_version: 1907.04056v1 · doi: 10.48550/arxiv.1907.04056 · pith_short_12: ZLGIJ36TPO6J · pith_short_16: ZLGIJ36TPO6JW2JJ · pith_short_8: ZLGIJ36T

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/ZLGIJ36TPO6JW2JJYTREXG4SZV \
  | 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: cacc84efd37bbc9b6929c4e24b9b92cd4e48e1f9d0831eaaa375522ab5c07906

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88e2fb07dd0c695519b3ffea6db3d6b49b0cd40b3d0d22d28c7457c3f2a09593",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-09T09:33:59Z",
    "title_canon_sha256": "096f9c585ae0ec389e6d21b259b40a6cb3dbfa2ebcf0f0a96067f335253e2913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04056",
    "kind": "arxiv",
    "version": 1
  }
}