Pith Number

pith:UXVPJ6XQ

pith:2018:UXVPJ6XQRYNH2GYMDXIAK5XX4Q

not attested not anchored not stored refs pending

Algorithm to Prove Formulas for the Expected Number of Questions in Mastermind Games

Marcin Peczarski

arxiv:1808.03849 v1 · 2018-08-11 · 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{UXVPJ6XQRYNH2GYMDXIAK5XX4Q}

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	2026-05-18T00:08:19.541907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5eaf4faf08e1a7d1b0c1dd00576f7e4154fb2dbfe4aaf98c051ebb2f4eeea23

Aliases

arxiv: 1808.03849 · arxiv_version: 1808.03849v1 · doi: 10.48550/arxiv.1808.03849 · pith_short_12: UXVPJ6XQRYNH · pith_short_16: UXVPJ6XQRYNH2GYM · pith_short_8: UXVPJ6XQ

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/UXVPJ6XQRYNH2GYMDXIAK5XX4Q \
  | 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: a5eaf4faf08e1a7d1b0c1dd00576f7e4154fb2dbfe4aaf98c051ebb2f4eeea23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e155c9a9957eda2cb68a7c964f819920ed127415a0bcce58dca5f0ed833dcfc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-11T18:39:31Z",
    "title_canon_sha256": "a8fd9354dd0302b5ac1bf3285e3f2df2efee1c0744b21727a8ff1bba0d3f4ab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03849",
    "kind": "arxiv",
    "version": 1
  }
}