Pith Number

pith:IPKENDH5

pith:2010:IPKENDH5MRHUMLYJ7BYEB3BKPF

not attested not anchored not stored refs pending

Deriving Finite Sphere Packings

Michael P. Brenner, Natalie Arkus, Vinothan N. Manoharan

arxiv:1011.5412 v2 · 2010-11-24 · cond-mat.soft · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPKENDH5MRHUMLYJ7BYEB3BKPF}

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	2026-05-18T03:10:24.742399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43d4468cfd644f462f09f87040ec2a795e0409edf5b08bc28db0e453c765c11e

Aliases

arxiv: 1011.5412 · arxiv_version: 1011.5412v2 · doi: 10.48550/arxiv.1011.5412 · pith_short_12: IPKENDH5MRHU · pith_short_16: IPKENDH5MRHUMLYJ · pith_short_8: IPKENDH5

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/IPKENDH5MRHUMLYJ7BYEB3BKPF \
  | 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: 43d4468cfd644f462f09f87040ec2a795e0409edf5b08bc28db0e453c765c11e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8e84cf53a5051dd54ebeae2d9155de89223562d6d51bd5394f34092c1f21827",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2010-11-24T16:15:06Z",
    "title_canon_sha256": "b1b110ece24168204d54f1ce9a46a0fa073e7de62c5fbf575c3832e2638bef8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5412",
    "kind": "arxiv",
    "version": 2
  }
}