Pith Number

pith:OFH3TNEX

pith:2013:OFH3TNEXC4XJ5YKMODE5WYLLXR

not attested not anchored not stored refs pending

The number of points from a random lattice that lie inside a ball

Samuel Holmin

arxiv:1311.2865 v1 · 2013-11-12 · 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{OFH3TNEXC4XJ5YKMODE5WYLLXR}

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	2026-05-18T03:07:21.706583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

714fb9b497172e9ee14c70c9db616bbc6e4bb9e952728907d021ee3e2f4a6528

Aliases

arxiv: 1311.2865 · arxiv_version: 1311.2865v1 · doi: 10.48550/arxiv.1311.2865 · pith_short_12: OFH3TNEXC4XJ · pith_short_16: OFH3TNEXC4XJ5YKM · pith_short_8: OFH3TNEX

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/OFH3TNEXC4XJ5YKMODE5WYLLXR \
  | 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: 714fb9b497172e9ee14c70c9db616bbc6e4bb9e952728907d021ee3e2f4a6528

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04c08f60273432cfabb2534a92787971f89c9433784ca4b9347d2b48980a2b7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-12T18:18:20Z",
    "title_canon_sha256": "9d899bcdde4e0d9e4efa287f401d30f6fb1901874d8b1af3125be3afbec90786"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2865",
    "kind": "arxiv",
    "version": 1
  }
}