Pith Number

pith:OHSRKLPN

pith:2017:OHSRKLPNK2HYJ2YSZ6XAIJOV5X

not attested not anchored not stored refs pending

Locally optimal 2-periodic sphere packings

Alexei Andreanov, Yoav Kallus

arxiv:1704.08156 v2 · 2017-04-26 · math.MG · cond-mat.stat-mech · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHSRKLPNK2HYJ2YSZ6XAIJOV5X}

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

1 paper in Pith

Variations on five-dimensional sphere packings

Receipt and verification

First computed	2026-07-05T00:18:29.147760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71e5152ded568f84eb12cfae0425d5edeabbe6e4ec012ee1cc567574a845aef6

Aliases

arxiv: 1704.08156 · arxiv_version: 1704.08156v2 · doi: 10.48550/arxiv.1704.08156 · pith_short_12: OHSRKLPNK2HY · pith_short_16: OHSRKLPNK2HYJ2YS · pith_short_8: OHSRKLPN

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/OHSRKLPNK2HYJ2YSZ6XAIJOV5X \
  | 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: 71e5152ded568f84eb12cfae0425d5edeabbe6e4ec012ee1cc567574a845aef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06046b66cae926ef92578474eb784f7f7e286f419a288acbcef4dd3025edf885",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-04-26T15:07:51Z",
    "title_canon_sha256": "a625c4fb5f3d668e3220ee08c46f2a9a41fb5518486cbb4e3c48ebbf713f1b5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08156",
    "kind": "arxiv",
    "version": 2
  }
}