Pith Number

pith:C55S7CMC

pith:2016:C55S7CMC3L2GBS4CNU4BASWS7E

not attested not anchored not stored refs pending

Top dense hyperbolic ball packings and coverings for complete Coxeter orthoscheme groups

Emil Moln\'ar, Jen\H{o} Szirmai

arxiv:1612.04541 v1 · 2016-12-14 · 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{C55S7CMC3L2GBS4CNU4BASWS7E}

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	2026-05-18T00:54:59.265469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

177b2f8982daf460cb826d38104ad2f904add736b4fb08ce3dfeebe3c0f06de2

Aliases

arxiv: 1612.04541 · arxiv_version: 1612.04541v1 · doi: 10.48550/arxiv.1612.04541 · pith_short_12: C55S7CMC3L2G · pith_short_16: C55S7CMC3L2GBS4C · pith_short_8: C55S7CMC

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/C55S7CMC3L2GBS4CNU4BASWS7E \
  | 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: 177b2f8982daf460cb826d38104ad2f904add736b4fb08ce3dfeebe3c0f06de2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "872e450862c5b898af3b8612af81436674fa5cf46be16355059a5f6d4fbf39f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-12-14T09:06:48Z",
    "title_canon_sha256": "6c975876cedd78ff0da5db464c39ebdc75668a323a7801727e910dcdf0cc50ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04541",
    "kind": "arxiv",
    "version": 1
  }
}