Pith Number

pith:ABW6H24C

pith:2014:ABW6H24CZYJZGQI2PCB2WHF2SV

not attested not anchored not stored refs pending

Angles in hyperbolic lattices : The pair correlation density

Anders S\"odergren, Morten S. Risager

arxiv:1409.5683 v2 · 2014-09-19 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABW6H24CZYJZGQI2PCB2WHF2SV}

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	2026-05-18T00:40:33.943602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

006de3eb82ce1393411a7883ab1cba957caf63b8139e194cb3ce37c6fdb789a6

Aliases

arxiv: 1409.5683 · arxiv_version: 1409.5683v2 · doi: 10.48550/arxiv.1409.5683 · pith_short_12: ABW6H24CZYJZ · pith_short_16: ABW6H24CZYJZGQI2 · pith_short_8: ABW6H24C

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/ABW6H24CZYJZGQI2PCB2WHF2SV \
  | 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: 006de3eb82ce1393411a7883ab1cba957caf63b8139e194cb3ce37c6fdb789a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6db0ade04eaea699360cd4a2bfd881f44d287e898e78644b617deb1b4d4c191",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-19T14:44:29Z",
    "title_canon_sha256": "fe487c9b1c8df200d3d474daff3eee55f8f841491c058a42c49b3e51c01213c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5683",
    "kind": "arxiv",
    "version": 2
  }
}