Pith Number

pith:7QVZB33N

pith:2024:7QVZB33NWN6MU5DAIH6YT4Y2YY

not attested not anchored not stored refs pending

Sidorenko's conjecture for subdivisions and theta substitutions

Hong Liu, Ruonan Li, Seonghyuk Im

arxiv:2408.03491 v2 · 2024-08-07 · 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{7QVZB33NWN6MU5DAIH6YT4Y2YY}

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

Sidorenko Inequalities for Two-Sided Group Correlation Kernels

Receipt and verification

First computed	2026-07-05T09:00:06.899011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc2b90ef6db37cca746041fd89f31ac63289875b703f03d41ebcbe8a9b2b72c8

Aliases

arxiv: 2408.03491 · arxiv_version: 2408.03491v2 · doi: 10.48550/arxiv.2408.03491 · pith_short_12: 7QVZB33NWN6M · pith_short_16: 7QVZB33NWN6MU5DA · pith_short_8: 7QVZB33N

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/7QVZB33NWN6MU5DAIH6YT4Y2YY \
  | 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: fc2b90ef6db37cca746041fd89f31ac63289875b703f03d41ebcbe8a9b2b72c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb137370312291cf4b94ae11240cbe05acaa61bad403ebaed4437cac3d8ebd33",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-07T01:02:08Z",
    "title_canon_sha256": "0cf785967322b7a0b3f76583361f9d78a76a428d19050a141f7d9b2741a66d8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.03491",
    "kind": "arxiv",
    "version": 2
  }
}