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Pith Number

pith:UODLOJMH

pith:2018:UODLOJMHFMGPZHOBRWD74ULXZ2
not attested not anchored not stored refs pending

On pinned billiard balls and foldings

Jayadev S. Athreya, Krzysztof Burdzy, Mauricio Duarte

arxiv:1807.08320 v2 · 2018-07-22 · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UODLOJMHFMGPZHOBRWD74ULXZ2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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 2026-05-18T00:09:57.995802Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a386b725872b0cfc9dc18d87fe5177cea50460f5ba19463f4e2e019bde06c299

Aliases

arxiv: 1807.08320 · arxiv_version: 1807.08320v2 · doi: 10.48550/arxiv.1807.08320 · pith_short_12: UODLOJMHFMGP · pith_short_16: UODLOJMHFMGPZHOB · pith_short_8: UODLOJMH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UODLOJMHFMGPZHOBRWD74ULXZ2 \
  | 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: a386b725872b0cfc9dc18d87fe5177cea50460f5ba19463f4e2e019bde06c299
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b9bb907c58d396768ef536ae337d2457646e81438d1fdd5948e1ec168850e305",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-07-22T17:06:00Z",
    "title_canon_sha256": "ed8dba4cdf5112c4b455da477d9fdb1b0f62c42aff4da0178b6b858bdb41ed93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08320",
    "kind": "arxiv",
    "version": 2
  }
}