Pith Number

pith:KIU643S3

pith:2012:KIU643S3UXQPUKQKTVXM2SYCBR

not attested not anchored not stored refs pending

Periodic Planar Disk Packings

Robert Connelly, William Dickinson

arxiv:1201.5965 v2 · 2012-01-28 · 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{KIU643S3UXQPUKQKTVXM2SYCBR}

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	2026-05-18T03:37:08.865741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5229ee6e5ba5e0fa2a0a9d6ecd4b020c643186c380294562ab9adaddd13936b0

Aliases

arxiv: 1201.5965 · arxiv_version: 1201.5965v2 · doi: 10.48550/arxiv.1201.5965 · pith_short_12: KIU643S3UXQP · pith_short_16: KIU643S3UXQPUKQK · pith_short_8: KIU643S3

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/KIU643S3UXQPUKQKTVXM2SYCBR \
  | 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: 5229ee6e5ba5e0fa2a0a9d6ecd4b020c643186c380294562ab9adaddd13936b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6213ca9c325fadb51374876f7dab63280b114f46be14dea8d7a92f3935b8bd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-01-28T15:08:16Z",
    "title_canon_sha256": "5060c019f909ca8fc86017a21c05873bc2b21806001b9403597c24a5f69f513e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5965",
    "kind": "arxiv",
    "version": 2
  }
}