Pith Number

pith:FZC2WCOH

pith:2013:FZC2WCOHAJSYLA3JLYUBHTSZDX

not attested not anchored not stored refs pending

The optimal hyperball packings related to the smallest compact arithmetic 5-orbifolds

Jen\H{o} Szirmai

arxiv:1306.4221 v1 · 2013-06-18 · 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{FZC2WCOHAJSYLA3JLYUBHTSZDX}

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	2026-05-18T03:20:36.791889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e45ab09c702658583695e2813ce591de98d4215b0f39371a10856b0cbc2190f

Aliases

arxiv: 1306.4221 · arxiv_version: 1306.4221v1 · doi: 10.48550/arxiv.1306.4221 · pith_short_12: FZC2WCOHAJSY · pith_short_16: FZC2WCOHAJSYLA3J · pith_short_8: FZC2WCOH

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/FZC2WCOHAJSYLA3JLYUBHTSZDX \
  | 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: 2e45ab09c702658583695e2813ce591de98d4215b0f39371a10856b0cbc2190f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac58387b38f59d4dee06eab613b40086c45c2f64d6b6cb48980b937c95655397",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-06-18T14:48:55Z",
    "title_canon_sha256": "4a8ca7d2752ba894da23b9aab9acd522261e380036de98da90e68db3b23731e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4221",
    "kind": "arxiv",
    "version": 1
  }
}