Pith Number

pith:QXUPRPXV

pith:2019:QXUPRPXVKJPMZXTX4RZXJ4K6CF

not attested not anchored not stored refs pending

Approximate degree, secret sharing, and concentration phenomena

Andrej Bogdanov, Christopher Williamson, Justin Thaler, Nikhil S. Mande

arxiv:1906.00326 v1 · 2019-06-02 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXUPRPXVKJPMZXTX4RZXJ4K6CF}

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	2026-05-17T23:44:27.427739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85e8f8bef5525eccde77e47374f15e1173c20f7e02ba7bc495fe739648ed37fc

Aliases

arxiv: 1906.00326 · arxiv_version: 1906.00326v1 · doi: 10.48550/arxiv.1906.00326 · pith_short_12: QXUPRPXVKJPM · pith_short_16: QXUPRPXVKJPMZXTX · pith_short_8: QXUPRPXV

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/QXUPRPXVKJPMZXTX4RZXJ4K6CF \
  | 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: 85e8f8bef5525eccde77e47374f15e1173c20f7e02ba7bc495fe739648ed37fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d773240bf072323d3004a013a44bd63796b62d5c61f46ca97b7bc00ff02db3f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2019-06-02T02:17:18Z",
    "title_canon_sha256": "c916d5fbc9103318e16949c4218dd22b6f92c0158b8e833a1bc7cc4bf7fd2a35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00326",
    "kind": "arxiv",
    "version": 1
  }
}