Pith Number

pith:SGMUIAXZ

pith:2024:SGMUIAXZ3GQQXFOWRLUNF45QGH

not attested not anchored not stored refs pending

Variations on five-dimensional sphere packings

Henry Cohn, Isaac Rajagopal

arxiv:2412.00937 v3 · 2024-12-01 · math.MG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SGMUIAXZ3GQQXFOWRLUNF45QGH}

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.

Cited by

2 papers in Pith

Structure of kissing arrangements in ${\mathbb R}^{12}$ and a place for the $841$st sphere

Classification of independent sets in signed Johnson graphs and applications to kissing arrangements

Receipt and verification

First computed	2026-07-07T02:17:04.716162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91994402f9d9a10b95d68ae8d2f3b031ebc8a39338307629ac2b3c96e87cf9b4

Aliases

arxiv: 2412.00937 · arxiv_version: 2412.00937v3 · doi: 10.48550/arxiv.2412.00937 · pith_short_12: SGMUIAXZ3GQQ · pith_short_16: SGMUIAXZ3GQQXFOW · pith_short_8: SGMUIAXZ

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/SGMUIAXZ3GQQXFOWRLUNF45QGH \
  | 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: 91994402f9d9a10b95d68ae8d2f3b031ebc8a39338307629ac2b3c96e87cf9b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e9e669ac40d9b964176ddabb7b4b79bbc9e289223a5bb651e5bb35c124493d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2024-12-01T19:03:05Z",
    "title_canon_sha256": "76fb0c14cbc9b976e26027434c877e91b5bfbbbd43ebce84048ba900b7d38ac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.00937",
    "kind": "arxiv",
    "version": 3
  }
}