Pith Number

pith:HGGDXDAH

pith:2014:HGGDXDAHOC3TMMR3I42BOR56U5

not attested not anchored not stored refs pending

Hyperball packings in hyperbolic $3$-space

Jen\"o Szirmai

arxiv:1405.0248 v2 · 2014-05-01 · 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{HGGDXDAHOC3TMMR3I42BOR56U5}

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	2026-05-18T01:19:42.633848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

398c3b8c0770b736323b47341747bea74b62d417c64c18e4277139b703592218

Aliases

arxiv: 1405.0248 · arxiv_version: 1405.0248v2 · doi: 10.48550/arxiv.1405.0248 · pith_short_12: HGGDXDAHOC3T · pith_short_16: HGGDXDAHOC3TMMR3 · pith_short_8: HGGDXDAH

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/HGGDXDAHOC3TMMR3I42BOR56U5 \
  | 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: 398c3b8c0770b736323b47341747bea74b62d417c64c18e4277139b703592218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b23db5f81ae6a79d2098caf4709a782de8df73c3776a2e191b4b180c7d9e7a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-05-01T18:43:24Z",
    "title_canon_sha256": "d048edcbae5f07817ed33b53e98ba355ebcab44525f3aeb07180491a3dd7ed94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0248",
    "kind": "arxiv",
    "version": 2
  }
}