Pith Number

pith:FLNPE5ZX

pith:2025:FLNPE5ZXODD2J3CQ7EZXEBJ3NR

not attested not anchored not stored refs pending

Ergodic averages and the large intersection property along IP sets

Bryna Kra, Or Shalom

arxiv:2506.17771 v1 · 2025-06-21 · math.DS · 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{FLNPE5ZXODD2J3CQ7EZXEBJ3NR}

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

Sets of large values of polynomial multi-correlation functions

On the Furstenberg-Katznelson constant for the IP Szemeredi theorem over finite fields

Receipt and verification

First computed	2026-07-05T11:25:22.976682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2adaf2773770c7a4ec50f93372053b6c5a94dd3cb2f39b9a3ec35cdb58240a85

Aliases

arxiv: 2506.17771 · arxiv_version: 2506.17771v1 · doi: 10.48550/arxiv.2506.17771 · pith_short_12: FLNPE5ZXODD2 · pith_short_16: FLNPE5ZXODD2J3CQ · pith_short_8: FLNPE5ZX

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/FLNPE5ZXODD2J3CQ7EZXEBJ3NR \
  | 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: 2adaf2773770c7a4ec50f93372053b6c5a94dd3cb2f39b9a3ec35cdb58240a85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "508d0a15586a0d4730b00edd3c1558ad2aee915f3cb71b6aa26d1838a66a0c54",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-06-21T17:48:25Z",
    "title_canon_sha256": "11e15ef75311b6755c4d9f54fa49b99df85330a379687830fa10366d440989fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17771",
    "kind": "arxiv",
    "version": 1
  }
}