Pith Number

pith:V5V4WR63

pith:2024:V5V4WR63W74ZVOACDWWLJN4VLQ

not attested not anchored not stored refs pending

Intersecting sets in probability spaces and Shelah's classification

Artem Chernikov, Henry Towsner

arxiv:2406.18772 v1 · 2024-06-26 · 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{V5V4WR63W74ZVOACDWWLJN4VLQ}

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

1 paper in Pith

Averages of hypergraphs and higher arity stability

Receipt and verification

First computed	2026-07-05T08:37:25.547546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af6bcb47dbb7f99ab8021dacb4b7955c04e5a64815e756a2cb70591056ec8b5d

Aliases

arxiv: 2406.18772 · arxiv_version: 2406.18772v1 · doi: 10.48550/arxiv.2406.18772 · pith_short_12: V5V4WR63W74Z · pith_short_16: V5V4WR63W74ZVOAC · pith_short_8: V5V4WR63

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/V5V4WR63W74ZVOACDWWLJN4VLQ \
  | 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: af6bcb47dbb7f99ab8021dacb4b7955c04e5a64815e756a2cb70591056ec8b5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8500f806a7024f6f4f58766de021150b09c3a1b46f555cbe13d9907608b8ca78",
    "cross_cats_sorted": [
      "math.LO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-06-26T21:55:13Z",
    "title_canon_sha256": "321208bde626fef85795355e8ad53f547ab0dc6e727da056137476008ac38d30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.18772",
    "kind": "arxiv",
    "version": 1
  }
}