Pith Number

pith:Q2BPZ57E

pith:2010:Q2BPZ57ET4VQLJ3GVCS4YE7GFV

not attested not anchored not stored refs pending

Sums of Isometric Pairs of Lattices

Paul Lewis

arxiv:1009.0060 v1 · 2010-09-01 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2BPZ57ET4VQLJ3GVCS4YE7GFV}

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	2026-05-18T04:41:35.619783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8682fcf7e49f2b05a766a8a5cc13e62d7b0f7334080423eeed2df9e21536e287

Aliases

arxiv: 1009.0060 · arxiv_version: 1009.0060v1 · doi: 10.48550/arxiv.1009.0060 · pith_short_12: Q2BPZ57ET4VQ · pith_short_16: Q2BPZ57ET4VQLJ3G · pith_short_8: Q2BPZ57E

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/Q2BPZ57ET4VQLJ3GVCS4YE7GFV \
  | 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: 8682fcf7e49f2b05a766a8a5cc13e62d7b0f7334080423eeed2df9e21536e287

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f82761a5756fe7eeb6ce6eb9037aa5f8bfc31a37b04e8a14c7810e907131d69b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-01T00:17:07Z",
    "title_canon_sha256": "ac4c33b28f5b32a9b23a621271eb52f1a0710ed5365941afec8ff2b00a5ebff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0060",
    "kind": "arxiv",
    "version": 1
  }
}