Pith Number

pith:IVT2NO4X

pith:2015:IVT2NO4XBAS65GHIJKIZ5PXLOW

not attested not anchored not stored refs pending

Notes on theta series for Niemeier lattices

Sho Takemori, Shoyu Nagaoka

arxiv:1504.06715 v1 · 2015-04-25 · 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{IVT2NO4XBAS65GHIJKIZ5PXLOW}

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	2026-05-18T02:17:44.561417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4567a6bb970825ee98e84a919ebeeb75afa91b7dba83d236d11c0c54000d4f5c

Aliases

arxiv: 1504.06715 · arxiv_version: 1504.06715v1 · doi: 10.48550/arxiv.1504.06715 · pith_short_12: IVT2NO4XBAS6 · pith_short_16: IVT2NO4XBAS65GHI · pith_short_8: IVT2NO4X

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/IVT2NO4XBAS65GHIJKIZ5PXLOW \
  | 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: 4567a6bb970825ee98e84a919ebeeb75afa91b7dba83d236d11c0c54000d4f5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31e9e16091c88b286300a86e1f3dc228a2a8db1e593d69a2a9f9d2be8fba98a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-25T11:40:27Z",
    "title_canon_sha256": "50b6ca81b88a6757ba6bc0cdad031216fc0ca8ea35fa4795d39c29aa0c776098"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06715",
    "kind": "arxiv",
    "version": 1
  }
}