Pith Number

pith:3ZMSLWYR

pith:2024:3ZMSLWYRMDIEH7VVCQDOSAJDA3

not attested not anchored not stored refs pending

Borel Local Lemma: arbitrary random variables and limited exponential growth

Anton Bernshteyn, Jing Yu

arxiv:2412.11571 v2 · 2024-12-16 · math.CO · math.LO · 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{3ZMSLWYRMDIEH7VVCQDOSAJDA3}

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.

Cited by

2 papers in Pith

Measurable matchings in unbalanced graphs

Receipt and verification

First computed	2026-05-29T01:04:51.779998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de5925db1160d043feb51406e9012306dc36c9aad5880a5abe7069b5901bc420

Aliases

arxiv: 2412.11571 · arxiv_version: 2412.11571v2 · doi: 10.48550/arxiv.2412.11571 · pith_short_12: 3ZMSLWYRMDIE · pith_short_16: 3ZMSLWYRMDIEH7VV · pith_short_8: 3ZMSLWYR

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/3ZMSLWYRMDIEH7VVCQDOSAJDA3 \
  | 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: de5925db1160d043feb51406e9012306dc36c9aad5880a5abe7069b5901bc420

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3f6999c9457efee162e1f50ce87ca08f2763b48778368e243b42ddb2a60ff1e",
    "cross_cats_sorted": [
      "math.LO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-16T08:56:12Z",
    "title_canon_sha256": "eeabadc274d7d6718d04a89ef2c44271dd07047e7508d0a2d8f75fb886963659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.11571",
    "kind": "arxiv",
    "version": 2
  }
}