Pith Number

pith:WLSMTA5S

pith:2016:WLSMTA5S54THRXBUGRIE6FNT4H

not attested not anchored not stored refs pending

On the Contact Numbers of Ball Packings on Various Hexagonal Grids

Istvan Szalkai

arxiv:1611.06394 v1 · 2016-11-19 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLSMTA5S54THRXBUGRIE6FNT4H}

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	2026-05-18T00:57:36.874389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2e4c983b2ef2678dc3434504f15b3e1eae47bae6ca41bbb7ca0c3fd68bea7e4

Aliases

arxiv: 1611.06394 · arxiv_version: 1611.06394v1 · doi: 10.48550/arxiv.1611.06394 · pith_short_12: WLSMTA5S54TH · pith_short_16: WLSMTA5S54THRXBU · pith_short_8: WLSMTA5S

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/WLSMTA5S54THRXBUGRIE6FNT4H \
  | 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: b2e4c983b2ef2678dc3434504f15b3e1eae47bae6ca41bbb7ca0c3fd68bea7e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32e5f5904ba4130e410efcb291db7639dc3453820671d4f8e9ef3919f63ab54d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-11-19T16:09:56Z",
    "title_canon_sha256": "5609e705d94a02ace3e0413ce0bf423857823cb3a3df9db180022344238b939f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06394",
    "kind": "arxiv",
    "version": 1
  }
}