Pith Number

pith:IDU2AEZK

pith:2023:IDU2AEZK52DUEGHA4VDBZ4DSC6

not attested not anchored not stored refs pending

An upper bound on the mean value of the Erd\H{o}s-Hooley Delta function

Dimitris Koukoulopoulos, Terence Tao

arxiv:2306.08615 v4 · 2023-06-14 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IDU2AEZK52DUEGHA4VDBZ4DSC6}

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

ZODS-RS -- Zero-training Oriented Detection & Segmentation for Remote Sensing

Receipt and verification

First computed	2026-07-05T07:21:42.560975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40e9a0132aee874218e0e5461cf0721794ddb8b686f6eb9f64310852dbb86627

Aliases

arxiv: 2306.08615 · arxiv_version: 2306.08615v4 · doi: 10.48550/arxiv.2306.08615 · pith_short_12: IDU2AEZK52DU · pith_short_16: IDU2AEZK52DUEGHA · pith_short_8: IDU2AEZK

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/IDU2AEZK52DUEGHA4VDBZ4DSC6 \
  | 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: 40e9a0132aee874218e0e5461cf0721794ddb8b686f6eb9f64310852dbb86627

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1da4f5e5b540dcb1aa12ed7729e3f2a5bdc9ede11a0cacee457215e99763897",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-06-14T16:19:26Z",
    "title_canon_sha256": "03fc3f7a3a7ddc7ac450998fe03e7db726942fe24ae91ed118dcf4f0a830fe03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.08615",
    "kind": "arxiv",
    "version": 4
  }
}