Pith Number

pith:PKB35RNG

pith:2018:PKB35RNG4545INWWHEP7GCP43S

not attested not anchored not stored refs pending

Optimal Ball Recycling

Alex Conway, Jake Christensen, Mart\'in Farach-Colton, Meng-Tsung Tsai, Michael A. Bender, Rob Johnson

arxiv:1807.01804 v2 · 2018-07-04 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PKB35RNG4545INWWHEP7GCP43S}

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	2026-05-18T00:01:43.303614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a83bec5a6e779d436d6391ff309fcdca331c2279153a8c0e5f5298ff8f37cc6

Aliases

arxiv: 1807.01804 · arxiv_version: 1807.01804v2 · doi: 10.48550/arxiv.1807.01804 · pith_short_12: PKB35RNG4545 · pith_short_16: PKB35RNG4545INWW · pith_short_8: PKB35RNG

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/PKB35RNG4545INWWHEP7GCP43S \
  | 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: 7a83bec5a6e779d436d6391ff309fcdca331c2279153a8c0e5f5298ff8f37cc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d0e4129135f64ac54150e649e0bf81b744c7ee2600a3822a762d8653c0ead71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-07-04T22:49:10Z",
    "title_canon_sha256": "78e3f999356bfb36c0d2ed2694c004cbd21b2b6074d16d8ff6376d1b20f57a49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01804",
    "kind": "arxiv",
    "version": 2
  }
}