Pith Number

pith:VQ7CHL6O

pith:2015:VQ7CHL6OHCR3453NSORUOF5UVC

not attested not anchored not stored refs pending

Counting prime juggling patterns

Christopher Cox, Esther Banaian, Jacob Landgraf, Jeffrey Davis, Scarlitte Ponce, Steve Butler

arxiv:1508.05296 v2 · 2015-08-21 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQ7CHL6OHCR3453NSORUOF5UVC}

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	2026-05-18T01:27:00.066440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac3e23afce38a3be776d93a34717b4a8b8bf3a7ea7d90873017d92072b9c1fe6

Aliases

arxiv: 1508.05296 · arxiv_version: 1508.05296v2 · doi: 10.48550/arxiv.1508.05296 · pith_short_12: VQ7CHL6OHCR3 · pith_short_16: VQ7CHL6OHCR3453N · pith_short_8: VQ7CHL6O

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/VQ7CHL6OHCR3453NSORUOF5UVC \
  | 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: ac3e23afce38a3be776d93a34717b4a8b8bf3a7ea7d90873017d92072b9c1fe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b3837db9620a89ed351d2740446d2d216087dfee744b47398aae86ff6fca8be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-21T15:00:34Z",
    "title_canon_sha256": "dde44f5f41b4c0ba4d81b19f9e1fab4cf5f865ed000633a783972ac7921efe58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05296",
    "kind": "arxiv",
    "version": 2
  }
}