Pith Number

pith:YCQGSN7K

pith:2026:YCQGSN7K3GYY6Y35TCI7DPLIRW

not attested not anchored not stored refs pending

Faster Algorithms for Deciding the Unbiased Maker-Breaker Triangle Game on General Graphs

Anand Srivastav, Julian Christoph Brinkmann

arxiv:2607.18569 v1 · 2026-07-20 · 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{YCQGSN7K3GYY6Y35TCI7DPLIRW}

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	2026-07-22T00:22:54.720360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0a06937ead9b18f637d9891f1bd688d8c392400860140d6caf10120b89a99ab

Aliases

arxiv: 2607.18569 · arxiv_version: 2607.18569v1 · doi: 10.48550/arxiv.2607.18569 · pith_short_12: YCQGSN7K3GYY · pith_short_16: YCQGSN7K3GYY6Y35 · pith_short_8: YCQGSN7K

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/YCQGSN7K3GYY6Y35TCI7DPLIRW \
  | 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: c0a06937ead9b18f637d9891f1bd688d8c392400860140d6caf10120b89a99ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75eb47f112f037e5beaa988c2e67bcdb1a93e037fe9750e990b1c63b7e984164",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-07-20T23:04:55Z",
    "title_canon_sha256": "029f304c8e3922c64a60e17e2a5a578f297e3fe1145770c20a341770ba514616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18569",
    "kind": "arxiv",
    "version": 1
  }
}