Pith Number

pith:ZAW4GTBV

pith:2026:ZAW4GTBVZZAWPSJ27QU6A6M5M2

not attested not anchored not stored refs pending

Chernoff's Density Is Strongly Log-Concave

Quan Zhou, Xianyang Zhang

arxiv:2607.18619 v1 · 2026-07-21 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAW4GTBVZZAWPSJ27QU6A6M5M2}

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	2026-07-22T00:22:57.067615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c82dc34c35ce4167c93afc29e0799d66b2a3c493acabdffa21f82c90927db2cb

Aliases

arxiv: 2607.18619 · arxiv_version: 2607.18619v1 · doi: 10.48550/arxiv.2607.18619 · pith_short_12: ZAW4GTBVZZAW · pith_short_16: ZAW4GTBVZZAWPSJ2 · pith_short_8: ZAW4GTBV

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/ZAW4GTBVZZAWPSJ27QU6A6M5M2 \
  | 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: c82dc34c35ce4167c93afc29e0799d66b2a3c493acabdffa21f82c90927db2cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "972d130bb99961d73df16f1e376a8c6aa6ed395fdad06ba51635ed19ab395c8f",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-21T01:39:27Z",
    "title_canon_sha256": "10db84dd1d23e8f9a1c76e4ae3247296d7a10fee1ba24c0b786e5622aae26837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18619",
    "kind": "arxiv",
    "version": 1
  }
}