Pith Number

pith:IZGIA6XW

pith:2015:IZGIA6XWVNVVFPS4WUNSW4G4QL

not attested not anchored not stored refs pending

Estimates for the growth of inverse determinant sums of quasi-orthogonal and number field lattices

Laura Luzzi, Roope Vehkalahti

arxiv:1501.01773 v1 · 2015-01-08 · cs.IT · math.IT · 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{IZGIA6XWVNVVFPS4WUNSW4G4QL}

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	2026-05-18T02:29:46.406436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

464c807af6ab6b52be5cb51b2b70dc82f5fc1191011fde1340b00b309a2515f3

Aliases

arxiv: 1501.01773 · arxiv_version: 1501.01773v1 · doi: 10.48550/arxiv.1501.01773 · pith_short_12: IZGIA6XWVNVV · pith_short_16: IZGIA6XWVNVVFPS4 · pith_short_8: IZGIA6XW

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/IZGIA6XWVNVVFPS4WUNSW4G4QL \
  | 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: 464c807af6ab6b52be5cb51b2b70dc82f5fc1191011fde1340b00b309a2515f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62fe0779cf5221b69891ff3a87494f5d3b87516414216ff7128609d81681e1b1",
    "cross_cats_sorted": [
      "math.IT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-01-08T09:18:52Z",
    "title_canon_sha256": "208ee09e582a147466f4983b886e5566f45867b83b107aa743f387a5defb009f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01773",
    "kind": "arxiv",
    "version": 1
  }
}