Pith Number

pith:UO3Q44SU

pith:2023:UO3Q44SUBK6ENWPDWVYFAVUKH7

not attested not anchored not stored refs pending

Some results on fractional vs. expectation thresholds

Thomas Fischer, Yury Person

arxiv:2311.08163 v1 · 2023-11-14 · math.CO

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\usepackage{pith}
\pithnumber{UO3Q44SUBK6ENWPDWVYFAVUKH7}

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Record completeness

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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.

Cited by

1 paper in Pith

Further remarks on fractional vs. expectation thresholds

Receipt and verification

First computed	2026-07-05T07:12:41.170660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3b70e72540abc46d9e3b57050568a3ff6eb366ecbe55144ec38bcd167779718

Aliases

arxiv: 2311.08163 · arxiv_version: 2311.08163v1 · doi: 10.48550/arxiv.2311.08163 · pith_short_12: UO3Q44SUBK6E · pith_short_16: UO3Q44SUBK6ENWPD · pith_short_8: UO3Q44SU

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/UO3Q44SUBK6ENWPDWVYFAVUKH7 \
  | 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: a3b70e72540abc46d9e3b57050568a3ff6eb366ecbe55144ec38bcd167779718

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f646c0320bc0f3ba7d2ab22a06863e464ee229aa005b513b6786bb9d1a604ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-11-14T13:43:15Z",
    "title_canon_sha256": "90345bba062c12cadf3af4f8ff3e0c82b9c45065eb9d6fcf81e813a18a38e12c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.08163",
    "kind": "arxiv",
    "version": 1
  }
}