Pith Number

pith:VQL2O67M

pith:2013:VQL2O67M6ENWDBM3W47GW4IEAE

not attested not anchored not stored refs pending

Maker-Breaker games on random geometric graphs

Alan Frieze, Andrew Beveridge, Andrzej Dudek, Milos Stojakovic, Tobias Muller

arxiv:1309.5759 v1 · 2013-09-23 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQL2O67M6ENWDBM3W47GW4IEAE}

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	2026-05-18T03:12:34.261561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac17a77becf11b61859bb73e6b710401040197cf47246b0b3e82247ab17c4e73

Aliases

arxiv: 1309.5759 · arxiv_version: 1309.5759v1 · doi: 10.48550/arxiv.1309.5759 · pith_short_12: VQL2O67M6ENW · pith_short_16: VQL2O67M6ENWDBM3 · pith_short_8: VQL2O67M

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/VQL2O67M6ENWDBM3W47GW4IEAE \
  | 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: ac17a77becf11b61859bb73e6b710401040197cf47246b0b3e82247ab17c4e73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eca2f43e6460e36ac752772e56add63cf008f38d90e37638e17e83857b23e60e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-23T10:43:16Z",
    "title_canon_sha256": "6f90e68577aa475591d7a49ed98d75b7e44e5fdf879a27b70f70c3645bca1c32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5759",
    "kind": "arxiv",
    "version": 1
  }
}