Pith Number

pith:OWS5QISM

pith:2019:OWS5QISMJJFGXJAOTEGVOYMKKY

not attested not anchored not stored refs pending

Apollonian packings in seven and eight dimensions

Arthur Baragar

arxiv:1901.04316 v1 · 2019-01-10 · math.GR · 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{OWS5QISMJJFGXJAOTEGVOYMKKY}

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	2026-05-17T23:56:25.855759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75a5d8224c4a4a6ba40e990d57618a560e47b971322abda58c4c8fa2c93b23b5

Aliases

arxiv: 1901.04316 · arxiv_version: 1901.04316v1 · doi: 10.48550/arxiv.1901.04316 · pith_short_12: OWS5QISMJJFG · pith_short_16: OWS5QISMJJFGXJAO · pith_short_8: OWS5QISM

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/OWS5QISMJJFGXJAOTEGVOYMKKY \
  | 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: 75a5d8224c4a4a6ba40e990d57618a560e47b971322abda58c4c8fa2c93b23b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0414471d01eb016b59f115eae93986e2086df9a449d8273c1503c0240e33315f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-01-10T23:28:46Z",
    "title_canon_sha256": "25b6ef6a4bb682df3642cea1c607cf66f815ac4b8cbb03626fde5300190a532a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04316",
    "kind": "arxiv",
    "version": 1
  }
}