Pith Number

pith:E5UTNOQU

pith:2013:E5UTNOQUBZVYKW4CB32GGAT4HU

not attested not anchored not stored refs pending

Ball Packings with Periodic Constraints

Alexander D. Smith, Jeffrey D. Shen, Robert Connelly

arxiv:1301.0664 v1 · 2013-01-04 · math.MG · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5UTNOQUBZVYKW4CB32GGAT4HU}

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	2026-05-18T03:37:18.000306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

276936ba140e6b855b820ef463027c3d0034097e53c50427f40339a3326c3b09

Aliases

arxiv: 1301.0664 · arxiv_version: 1301.0664v1 · doi: 10.48550/arxiv.1301.0664 · pith_short_12: E5UTNOQUBZVY · pith_short_16: E5UTNOQUBZVYKW4C · pith_short_8: E5UTNOQU

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/E5UTNOQUBZVYKW4CB32GGAT4HU \
  | 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: 276936ba140e6b855b820ef463027c3d0034097e53c50427f40339a3326c3b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27aa7ab4980740d92b12bf3cd067dc7a6992f023ee2912038b40ef2a80be9a3b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-01-04T03:38:00Z",
    "title_canon_sha256": "19cf7c9e6587b298eeac7dcc261688fce7e75e837ae476d985a92e5fe4623446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0664",
    "kind": "arxiv",
    "version": 1
  }
}