Pith Number

pith:5GQ63XRW

pith:2013:5GQ63XRWDFHRW5UO75XZUOQVN4

not attested not anchored not stored refs pending

Generating random graphs in biased Maker-Breaker games

Asaf Ferber, Humberto Naves, Michael Krivelevich

arxiv:1310.4096 v4 · 2013-10-15 · 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{5GQ63XRWDFHRW5UO75XZUOQVN4}

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	2026-05-18T01:33:32.783534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9a1edde36194f1b768eff6f9a3a156f3a64ab86d07a738d1a22418984a8884d

Aliases

arxiv: 1310.4096 · arxiv_version: 1310.4096v4 · doi: 10.48550/arxiv.1310.4096 · pith_short_12: 5GQ63XRWDFHR · pith_short_16: 5GQ63XRWDFHRW5UO · pith_short_8: 5GQ63XRW

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/5GQ63XRWDFHRW5UO75XZUOQVN4 \
  | 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: e9a1edde36194f1b768eff6f9a3a156f3a64ab86d07a738d1a22418984a8884d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ae029e59cfceb03ba47b3cc0eccebf130e8639b566821d42fe1a7fdf58c5da7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-15T16:03:29Z",
    "title_canon_sha256": "c8dbf6576b910d91303e37aca36eb36c8dfef951a475a2ae3ff1f50054b1944e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4096",
    "kind": "arxiv",
    "version": 4
  }
}