Pith Number

pith:5KO4AGQF

pith:2026:5KO4AGQF2SDPCHYXN73QJPBJG2

not attested not anchored not stored refs pending

Constructive Winning Breaker Strategies in the Maker-Breaker $C_k$-Game

Anand Srivastav, Matthias Sowa

arxiv:2607.01294 v1 · 2026-07-01 · 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{5KO4AGQF2SDPCHYXN73QJPBJG2}

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	2026-07-03T00:16:56.498511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea9dc01a05d486f11f176ff704bc29368c93176e8ec7a0cf0273666dc29848c7

Aliases

arxiv: 2607.01294 · arxiv_version: 2607.01294v1 · doi: 10.48550/arxiv.2607.01294 · pith_short_12: 5KO4AGQF2SDP · pith_short_16: 5KO4AGQF2SDPCHYX · pith_short_8: 5KO4AGQF

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/5KO4AGQF2SDPCHYXN73QJPBJG2 \
  | 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: ea9dc01a05d486f11f176ff704bc29368c93176e8ec7a0cf0273666dc29848c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2691509f26e40baa00ab653a4638c5331215248665b0ed719e99a1f8974e2de1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-01T13:22:03Z",
    "title_canon_sha256": "1e980ff853e3b620fdc23104a55f0e3ff450cbf6d907ed25f36fb9a23c80d7ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01294",
    "kind": "arxiv",
    "version": 1
  }
}