Pith Number

pith:2DLJBGZI

pith:2016:2DLJBGZIOHJWJ6MVHUJB6TUTML

not attested not anchored not stored refs pending

Horospherical coordinates of lattice points in hyperbolic space: effective counting and equidistribution

Amos Nevo, Tal Horesh

arxiv:1612.08215 v1 · 2016-12-24 · math.DS · 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{2DLJBGZIOHJWJ6MVHUJB6TUTML}

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	2026-05-18T00:53:57.248670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0d6909b2871d364f9953d121f4e9362d98aac25dbff9d18ab7fa6778f5a6429

Aliases

arxiv: 1612.08215 · arxiv_version: 1612.08215v1 · doi: 10.48550/arxiv.1612.08215 · pith_short_12: 2DLJBGZIOHJW · pith_short_16: 2DLJBGZIOHJWJ6MV · pith_short_8: 2DLJBGZI

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/2DLJBGZIOHJWJ6MVHUJB6TUTML \
  | 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: d0d6909b2871d364f9953d121f4e9362d98aac25dbff9d18ab7fa6778f5a6429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6045c7c5b373de4aa0687742746193c0f03c6539d16c58dbe240acb54c6f70ba",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-24T18:49:14Z",
    "title_canon_sha256": "93340bf213102345155622f94da8733c4e41dc2ccd01e495b4ceb1fe4a5fe508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08215",
    "kind": "arxiv",
    "version": 1
  }
}