Pith Number

pith:56JI7IZO

pith:2020:56JI7IZODCHRH3EVUINECT4474

not attested not anchored not stored refs pending

Fast Strategies in Waiter-Client Games on $K_n$

Alexander M. Haupt, Dennis Clemens, Fabian Hamann, Mirjana Mikala\v{c}ki, Pranshu Gupta, Yannick Mogge

arxiv:2003.09247 v3 · 2020-03-20 · 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{56JI7IZODCHRH3EVUINECT4474}

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	2026-07-05T04:59:37.053458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef928fa32e188f13ec95a21a414f9cff180451c01ada931a72d116fc4e0c1955

Aliases

arxiv: 2003.09247 · arxiv_version: 2003.09247v3 · doi: 10.48550/arxiv.2003.09247 · pith_short_12: 56JI7IZODCHR · pith_short_16: 56JI7IZODCHRH3EV · pith_short_8: 56JI7IZO

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/56JI7IZODCHRH3EVUINECT4474 \
  | 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: ef928fa32e188f13ec95a21a414f9cff180451c01ada931a72d116fc4e0c1955

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cb0b3eccf0b1bcaf0b34dfe9f8abb39f2a9dd77bef26e4eeefdcfd3a1f7e425",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-03-20T13:02:59Z",
    "title_canon_sha256": "68cc7c5c8608773f9ff42cb92883e99449178b5b60a423129ee1ebef4e4d2ede"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.09247",
    "kind": "arxiv",
    "version": 3
  }
}