Pith Number

pith:AYG7KPTC

pith:2019:AYG7KPTCQFYLCLCKFDIGSYBF7E

not attested not anchored not stored refs pending

Bloom Type Inequality: The Off-diagonal Case

Junren Pan, Wenchang Sun

arxiv:1907.07292 v1 · 2019-07-17 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYG7KPTCQFYLCLCKFDIGSYBF7E}

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	2026-05-17T23:40:22.772549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

060df53e628170b12c4a28d0696025f93d68f1d63f51188dbddf6bb680c430a7

Aliases

arxiv: 1907.07292 · arxiv_version: 1907.07292v1 · doi: 10.48550/arxiv.1907.07292 · pith_short_12: AYG7KPTCQFYL · pith_short_16: AYG7KPTCQFYLCLCK · pith_short_8: AYG7KPTC

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/AYG7KPTCQFYLCLCKFDIGSYBF7E \
  | 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: 060df53e628170b12c4a28d0696025f93d68f1d63f51188dbddf6bb680c430a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70c3bfcea5a7d65ff4479b4a771f194ac6c4c3ce94157b479b91164d0189302b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-17T00:11:58Z",
    "title_canon_sha256": "000b43a18a5ed8259d21440ea488cce6d7324b867ecd5768f579a6a860007756"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07292",
    "kind": "arxiv",
    "version": 1
  }
}