Pith Number

pith:5VFNKG57

pith:2025:5VFNKG57M3UYHM6E6FVWFMY5PG

not attested not anchored not stored refs pending

Talagrand-Type Correlation Inequalities for Submodular and Supermodular Functions on the Hypercube

Fan Chang, Yu Chen

arxiv:2510.22307 v2 · 2025-10-25 · math.CO · math.FA · 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{5VFNKG57M3UYHM6E6FVWFMY5PG}

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	2026-05-20T00:05:35.380274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed4ad51bbf66e983b3c4f16b62b31d79b01ce6164c008176607fde68d9808a38

Aliases

arxiv: 2510.22307 · arxiv_version: 2510.22307v2 · doi: 10.48550/arxiv.2510.22307 · pith_short_12: 5VFNKG57M3UY · pith_short_16: 5VFNKG57M3UYHM6E · pith_short_8: 5VFNKG57

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/5VFNKG57M3UYHM6E6FVWFMY5PG \
  | 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: ed4ad51bbf66e983b3c4f16b62b31d79b01ce6164c008176607fde68d9808a38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27def5c8b91e6242b204d68549b6d35c5173a9ca84f674c4323f9013a3d29ddb",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-10-25T14:21:05Z",
    "title_canon_sha256": "dd80403fd4982b32482eba7937b9fae49d329a643af42362baaea7bfa9301c46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.22307",
    "kind": "arxiv",
    "version": 2
  }
}