Pith Number

pith:LGRXYWRS

pith:2025:LGRXYWRSMJL32L6T6RMASY3HDQ

not attested not anchored not stored refs pending

The hyperbolic lattice counting problem in large dimensions

Christos Katsivelos

arxiv:2506.17753 v1 · 2025-06-21 · 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{LGRXYWRSMJL32L6T6RMASY3HDQ}

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	2026-07-05T11:25:22.783246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59a37c5a326257bd2fd3f4580963671c32d6000b7b1a634cd7b10f34d004550d

Aliases

arxiv: 2506.17753 · arxiv_version: 2506.17753v1 · doi: 10.48550/arxiv.2506.17753 · pith_short_12: LGRXYWRSMJL3 · pith_short_16: LGRXYWRSMJL32L6T · pith_short_8: LGRXYWRS

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/LGRXYWRSMJL32L6T6RMASY3HDQ \
  | 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: 59a37c5a326257bd2fd3f4580963671c32d6000b7b1a634cd7b10f34d004550d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9135a800cec25a49b1a9240e2c4aa55d1ec84716e6cebae6a8263c81889f461",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-21T16:17:50Z",
    "title_canon_sha256": "17a525f477c958206cbee83e3f78cbbc0f16ffbd663a8ff22b7760f21d866663"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17753",
    "kind": "arxiv",
    "version": 1
  }
}