Pith Number

pith:SUOVQZ6I

pith:2025:SUOVQZ6I6WSH5WXKOBRM7OSZFF

not attested not anchored not stored refs pending

An Improved Upper Bound on the Threshold Bias of the Oriented-cycle game

Abdallah Saffidine, Anita Liebenau, Jeffrey Yang

arxiv:2503.16770 v1 · 2025-03-21 · 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{SUOVQZ6I6WSH5WXKOBRM7OSZFF}

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	2026-07-05T10:36:49.582506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

951d5867c8f5a47edaea7062cfba5929696fa3671acd9184c45e226f6fbd7d83

Aliases

arxiv: 2503.16770 · arxiv_version: 2503.16770v1 · doi: 10.48550/arxiv.2503.16770 · pith_short_12: SUOVQZ6I6WSH · pith_short_16: SUOVQZ6I6WSH5WXK · pith_short_8: SUOVQZ6I

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/SUOVQZ6I6WSH5WXKOBRM7OSZFF \
  | 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: 951d5867c8f5a47edaea7062cfba5929696fa3671acd9184c45e226f6fbd7d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58ad161b29e8f11a4334c8e819d3c8171d8e7edc2ec950b33fe4db0807affae6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-21T00:59:26Z",
    "title_canon_sha256": "94a57b168e22228d296c4d7ad496d4eefab72ef825fc2bc57e255d233913e15c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.16770",
    "kind": "arxiv",
    "version": 1
  }
}