Pith Number

pith:EJS4QO44

pith:2017:EJS4QO44QT52JRP3LS4K4IO5LZ

not attested not anchored not stored refs pending

On the separation conjecture in Avoider-Enforcer games

Lior Gishboliner, Ma{\l}gorzata Bednarska-Bzd\c{e}ga, Omri Ben-Eliezer, Tuan Tran

arxiv:1709.09065 v3 · 2017-09-26 · 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{EJS4QO44QT52JRP3LS4K4IO5LZ}

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	2026-05-17T23:55:09.772841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2265c83b9c84fba4c5fb5cb8ae21dd5e6d58254618d2152dec02e72c74938924

Aliases

arxiv: 1709.09065 · arxiv_version: 1709.09065v3 · doi: 10.48550/arxiv.1709.09065 · pith_short_12: EJS4QO44QT52 · pith_short_16: EJS4QO44QT52JRP3 · pith_short_8: EJS4QO44

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/EJS4QO44QT52JRP3LS4K4IO5LZ \
  | 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: 2265c83b9c84fba4c5fb5cb8ae21dd5e6d58254618d2152dec02e72c74938924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d42bb3a8c6bd481d0181d196c6475f1f444f1e2a6f6a44ef1a0608d5d5dd9188",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-26T14:49:07Z",
    "title_canon_sha256": "e9727b65f1b59494ede547872d0fc88111e2d4c5579cdacd6d56caf934e0afda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09065",
    "kind": "arxiv",
    "version": 3
  }
}