Pith Number

pith:4NMZ3PRR

pith:2014:4NMZ3PRRSQCED7HWVLR2MWN4AV

not attested not anchored not stored refs pending

Quasi-arithmeticity of lattices in PO(n,1)

Scott Thomson

arxiv:1412.4961 v3 · 2014-12-16 · math.GT · 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{4NMZ3PRRSQCED7HWVLR2MWN4AV}

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	2026-05-18T01:46:13.780534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3599dbe31940441fcf6aae3a659bc054be9e86a94ed2352507235599359f6ec

Aliases

arxiv: 1412.4961 · arxiv_version: 1412.4961v3 · doi: 10.48550/arxiv.1412.4961 · pith_short_12: 4NMZ3PRRSQCE · pith_short_16: 4NMZ3PRRSQCED7HW · pith_short_8: 4NMZ3PRR

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/4NMZ3PRRSQCED7HWVLR2MWN4AV \
  | 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: e3599dbe31940441fcf6aae3a659bc054be9e86a94ed2352507235599359f6ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8004582f66d647ccacb7c53c7df55836f9c63ce0145ab1deee00e52e60456a3b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-16T11:46:48Z",
    "title_canon_sha256": "e0a7b338f539de282ad3c950309dd9a3b1634e9d0a3f2275586fca23a45ecf74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4961",
    "kind": "arxiv",
    "version": 3
  }
}