Pith Number

pith:I7T6WIBT

pith:2026:I7T6WIBTVL74U5KB6C5J5JXCYJ

not attested not anchored not stored refs pending

A Complete Intersection Theorem for Large Permutation Groups

Andrey Kupavskii, Nathan Keller, Noam Lifshitz, Ohad Sheinfeld

arxiv:2607.00318 v1 · 2026-07-01 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I7T6WIBTVL74U5KB6C5J5JXCYJ}

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	2026-07-02T00:18:44.428746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47e7eb2033aaffca7541f0ba9ea6e2c26122080fd13b637c08277364ed14fd0e

Aliases

arxiv: 2607.00318 · arxiv_version: 2607.00318v1 · doi: 10.48550/arxiv.2607.00318 · pith_short_12: I7T6WIBTVL74 · pith_short_16: I7T6WIBTVL74U5KB · pith_short_8: I7T6WIBT

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/I7T6WIBTVL74U5KB6C5J5JXCYJ \
  | 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: 47e7eb2033aaffca7541f0ba9ea6e2c26122080fd13b637c08277364ed14fd0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccb1ac419cfaddd3e8826ae2aff17ad2d9909167e2f6ed4234582397a60fd66c",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-01T01:34:02Z",
    "title_canon_sha256": "911b9031978b88ec980f4095e8061967e2f7c9b8e7d08695ecefbf2b3c812fbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00318",
    "kind": "arxiv",
    "version": 1
  }
}