Pith Number

pith:ZHBWCZAI

pith:2025:ZHBWCZAIDUNEPF4UHMDHTJPZFN

not attested not anchored not stored refs pending

Functional inequalities and random walks on increasing subsets of the hypercube

Fan Chang, Guowei Sun, Lei Yu

arxiv:2506.09852 v4 · 2025-06-11 · math.CO · 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{ZHBWCZAIDUNEPF4UHMDHTJPZFN}

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

Log-Sobolev under random monotone censoring

Receipt and verification

First computed	2026-08-12T01:21:14.231930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9c36164081d1a4797943b0679a5f92b6bd106f31a56bcbb5351e82d2acaeb23

Aliases

arxiv: 2506.09852 · arxiv_version: 2506.09852v4 · doi: 10.48550/arxiv.2506.09852 · pith_short_12: ZHBWCZAIDUNE · pith_short_16: ZHBWCZAIDUNEPF4U · pith_short_8: ZHBWCZAI

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/ZHBWCZAIDUNEPF4UHMDHTJPZFN \
  | 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: c9c36164081d1a4797943b0679a5f92b6bd106f31a56bcbb5351e82d2acaeb23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8725918c4cb44ae40b36a36d60008847040b34bbe54c5217eaa38aeaadc60d06",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-11T15:22:09Z",
    "title_canon_sha256": "fcaac5f0b997ae66c2914c24c59614cfbcb74ca990d57a398b4b232e33b6feeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.09852",
    "kind": "arxiv",
    "version": 4
  }
}