Pith Number

pith:DVLTJNV5

pith:2014:DVLTJNV5BSFESEMH32GJ6KBNVY

not attested not anchored not stored refs pending

On theta series attached to the Leech lattice

Sho Takemori, Shoyu Nagaoka

arxiv:1412.7606 v2 · 2014-12-24 · 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{DVLTJNV5BSFESEMH32GJ6KBNVY}

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	2026-05-18T02:27:00.550600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d5734b6bd0c8a491187de8c9f282dae2770cadb1cac2bb21f058da9e477e152

Aliases

arxiv: 1412.7606 · arxiv_version: 1412.7606v2 · doi: 10.48550/arxiv.1412.7606 · pith_short_12: DVLTJNV5BSFE · pith_short_16: DVLTJNV5BSFESEMH · pith_short_8: DVLTJNV5

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/DVLTJNV5BSFESEMH32GJ6KBNVY \
  | 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: 1d5734b6bd0c8a491187de8c9f282dae2770cadb1cac2bb21f058da9e477e152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8467a70d58734ce7b0dfef3fe7f014c61348fc0c1971082fd8e2cfa4e4442e34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-24T05:41:13Z",
    "title_canon_sha256": "ed30e432942e03f471f89590432dc214e0047517d8d659cf481f61c6bc021b50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7606",
    "kind": "arxiv",
    "version": 2
  }
}