Pith Number

pith:X6RLKHIH

pith:2018:X6RLKHIHUZ5Z22DQT4ZBLN437D

not attested not anchored not stored refs pending

Hyperball packings related to octahedron and cube tilings in hyperbolic space

Jen\H{o} Szirmai

arxiv:1803.04948 v1 · 2018-03-13 · 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{X6RLKHIHUZ5Z22DQT4ZBLN437D}

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	2026-05-18T00:21:15.385341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfa2b51d07a67b9d68709f3215b79bf8f6c7bd5d98a6deb4c797729c649e0687

Aliases

arxiv: 1803.04948 · arxiv_version: 1803.04948v1 · doi: 10.48550/arxiv.1803.04948 · pith_short_12: X6RLKHIHUZ5Z · pith_short_16: X6RLKHIHUZ5Z22DQ · pith_short_8: X6RLKHIH

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/X6RLKHIHUZ5Z22DQT4ZBLN437D \
  | 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: bfa2b51d07a67b9d68709f3215b79bf8f6c7bd5d98a6deb4c797729c649e0687

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73c3c657c1c7ac8b4c393a13acf0bf7bf1cb43e7f5043670976daae57f43a9aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-03-13T17:31:32Z",
    "title_canon_sha256": "bd6aed7c8310c14a82e3443fa83897d8dbe91269ee68a6016b33e34811e65fe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04948",
    "kind": "arxiv",
    "version": 1
  }
}