Pith Number

pith:3T4UX2XH

pith:2019:3T4UX2XHIBCIIWRL3R5WBQD5QU

not attested not anchored not stored refs pending

Game of Sloanes: Best known packings in complex projective space

Dustin G. Mixon, Emily J. King, John Jasper

arxiv:1907.07848 v1 · 2019-07-18 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3T4UX2XHIBCIIWRL3R5WBQD5QU}

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	2026-05-17T23:40:15.993395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcf94beae74044845a2bdc7b60c07d853ed05d9ddde78a2cc91122ea2c5648cb

Aliases

arxiv: 1907.07848 · arxiv_version: 1907.07848v1 · doi: 10.48550/arxiv.1907.07848 · pith_short_12: 3T4UX2XHIBCI · pith_short_16: 3T4UX2XHIBCIIWRL · pith_short_8: 3T4UX2XH

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/3T4UX2XHIBCIIWRL3R5WBQD5QU \
  | 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: dcf94beae74044845a2bdc7b60c07d853ed05d9ddde78a2cc91122ea2c5648cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b15f7841519904338347d6a351d01fdf2e7d446e17cf6a0a3339fad861b9892e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-07-18T02:50:46Z",
    "title_canon_sha256": "56a2e355ee7319e2b25040d0d1ce8921da90ef388f71bb00344c68ebacc7f833"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07848",
    "kind": "arxiv",
    "version": 1
  }
}