Pith Number

pith:35M5W4WC

pith:2011:35M5W4WCNVJ3GMUCCEER4GJYTD

not attested not anchored not stored refs pending

On lattice coverings of Nil space by congruent geodesic balls

Jen\H{o} Szirmai

arxiv:1105.1986 v1 · 2011-05-10 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{35M5W4WCNVJ3GMUCCEER4GJYTD}

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	2026-05-18T01:09:25.498298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df59db72c26d53b3328211091e193898da09f779bb52e2975d5d26d76f6d2fca

Aliases

arxiv: 1105.1986 · arxiv_version: 1105.1986v1 · doi: 10.48550/arxiv.1105.1986 · pith_short_12: 35M5W4WCNVJ3 · pith_short_16: 35M5W4WCNVJ3GMUC · pith_short_8: 35M5W4WC

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/35M5W4WCNVJ3GMUCCEER4GJYTD \
  | 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: df59db72c26d53b3328211091e193898da09f779bb52e2975d5d26d76f6d2fca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4745f2d87d442309f1783a950c7c685f8b43052f349906c1b9d42a7630ac5e03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-05-10T16:05:33Z",
    "title_canon_sha256": "5ae0e12c32f6587985c6ece770504193e39d6a7f91f00ccd6c35f68504369306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1986",
    "kind": "arxiv",
    "version": 1
  }
}