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Pith Number

pith:ULIWR7B5

pith:2011:ULIWR7B5F3E3UIARX5MUCSBAY3
not attested not anchored not stored refs pending

Biased orientation games

Benny Sudakov, Ido Ben-Eliezer, Michael Krivelevich

arxiv:1107.1844 v1 · 2011-07-10 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ULIWR7B5F3E3UIARX5MUCSBAY3}

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 2026-05-18T04:18:34.049645Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a2d168fc3d2ec9ba2011bf59414820c6f166a0ae99c129cb3192a47533d008a5

Aliases

arxiv: 1107.1844 · arxiv_version: 1107.1844v1 · doi: 10.48550/arxiv.1107.1844 · pith_short_12: ULIWR7B5F3E3 · pith_short_16: ULIWR7B5F3E3UIAR · pith_short_8: ULIWR7B5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ULIWR7B5F3E3UIARX5MUCSBAY3 \
  | 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: a2d168fc3d2ec9ba2011bf59414820c6f166a0ae99c129cb3192a47533d008a5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "95b39dc1fcdeb2b0730998c56617aee48712f3953a3fe2163dd01025d97650d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-10T08:32:20Z",
    "title_canon_sha256": "f7c32b4f98fe1d74085e86d15c6585e34c55b44d483d3f75413fc8c5f818e7bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1844",
    "kind": "arxiv",
    "version": 1
  }
}