Pith Number

pith:YJ567FGL

pith:2015:YJ567FGLUHUNWYCIVA5NCUHVYM

not attested not anchored not stored refs pending

New upper bounds for the density of translative packings of three-dimensional convex bodies with tetrahedral symmetry

Crist\'obal Guzm\'an, Fernando M\'ario de Oliveira Filho, Frank Vallentin, Maria Dostert

arxiv:1510.02331 v3 · 2015-10-08 · math.MG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YJ567FGLUHUNWYCIVA5NCUHVYM}

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	2026-05-18T00:39:18.489876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c27bef94cba1e8db6048a83ad150f5c33d4dab470cdbd6693124e4499d117ba5

Aliases

arxiv: 1510.02331 · arxiv_version: 1510.02331v3 · doi: 10.48550/arxiv.1510.02331 · pith_short_12: YJ567FGLUHUN · pith_short_16: YJ567FGLUHUNWYCI · pith_short_8: YJ567FGL

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/YJ567FGLUHUNWYCIVA5NCUHVYM \
  | 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: c27bef94cba1e8db6048a83ad150f5c33d4dab470cdbd6693124e4499d117ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5860b68136e77378b12a94ecf98c8afd97405ac766dfe73d9592be9b6035627e",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-10-08T14:13:30Z",
    "title_canon_sha256": "24bf756e6670ae1c24493c56d415718699d81befe899b6cddb0c38e55ac63c4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02331",
    "kind": "arxiv",
    "version": 3
  }
}