Pith Number

pith:XKQ6INEY

pith:2014:XKQ6INEYSSPB2PB4POSUVSJWNE

not attested not anchored not stored refs pending

Local average in hyperbolic lattice point counting

Morten S. Risager, Yiannis N. Petridis

arxiv:1408.5743 v3 · 2014-08-25 · 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{XKQ6INEYSSPB2PB4POSUVSJWNE}

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	2026-05-18T01:02:29.020402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baa1e43498949e1d3c3c7ba54ac93669322c6f9ac0a2194a8bf95de8f379ea11

Aliases

arxiv: 1408.5743 · arxiv_version: 1408.5743v3 · doi: 10.48550/arxiv.1408.5743 · pith_short_12: XKQ6INEYSSPB · pith_short_16: XKQ6INEYSSPB2PB4 · pith_short_8: XKQ6INEY

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/XKQ6INEYSSPB2PB4POSUVSJWNE \
  | 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: baa1e43498949e1d3c3c7ba54ac93669322c6f9ac0a2194a8bf95de8f379ea11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0641af7250ddee8dc91ebb37f86c3e73d461b5608cefcd0ef0e424a63c813aac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-25T13:16:10Z",
    "title_canon_sha256": "0ed898a47ac2a8d51e85ffe80c31915c37d93feed40c059e26e56691ead3bbc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5743",
    "kind": "arxiv",
    "version": 3
  }
}