Pith Number

pith:2BWT5LER

pith:2011:2BWT5LERRJRTZO6TZGXBNCM7NR

not attested not anchored not stored refs pending

Doubly biased Maker-Breaker Connectivity game

Dan Hefetz, Milo\v{s} Stojakovi\'c, Mirjana Raki\'c

arxiv:1101.3932 v1 · 2011-01-20 · 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{2BWT5LERRJRTZO6TZGXBNCM7NR}

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	2026-05-18T01:09:25.878597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d06d3eac918a633cbbd3c9ae16899f6c5085ec2b78ebeddba9c2c1f6fe89408a

Aliases

arxiv: 1101.3932 · arxiv_version: 1101.3932v1 · doi: 10.48550/arxiv.1101.3932 · pith_short_12: 2BWT5LERRJRT · pith_short_16: 2BWT5LERRJRTZO6T · pith_short_8: 2BWT5LER

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/2BWT5LERRJRTZO6TZGXBNCM7NR \
  | 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: d06d3eac918a633cbbd3c9ae16899f6c5085ec2b78ebeddba9c2c1f6fe89408a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07d9814b1939cbc0da565e8f9fa907aff36be7deee81b946899597d6e2bc5113",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-20T15:31:56Z",
    "title_canon_sha256": "fcfb217817fce411f2c3cef881d388b8bdbc7651b4fba7a53e20667c93e36dd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3932",
    "kind": "arxiv",
    "version": 1
  }
}