Pith Number

pith:YRCV7DAD

pith:2013:YRCV7DAD4AKMMRCTB4BG7GXQLS

not attested not anchored not stored refs pending

Reversed Hardy-Littewood-Sobolev inequality

Jingbo Dou, Meijun Zhu

arxiv:1309.1974 v3 · 2013-09-08 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YRCV7DAD4AKMMRCTB4BG7GXQLS}

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	2026-05-18T02:48:01.050084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4455f8c03e014c644530f026f9af05c8242222d51b15049c3106d3d9af4ae6d

Aliases

arxiv: 1309.1974 · arxiv_version: 1309.1974v3 · doi: 10.48550/arxiv.1309.1974 · pith_short_12: YRCV7DAD4AKM · pith_short_16: YRCV7DAD4AKMMRCT · pith_short_8: YRCV7DAD

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/YRCV7DAD4AKMMRCTB4BG7GXQLS \
  | 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: c4455f8c03e014c644530f026f9af05c8242222d51b15049c3106d3d9af4ae6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c6af01e5c4f2eee92221c912d1711259e4b6774fb4b48b6baf4a3ca580666e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-08T16:33:58Z",
    "title_canon_sha256": "4ded9b0f8f4fdb942d08602fcef98b18ca4171cd46d58cd5654e0814e6ade30d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1974",
    "kind": "arxiv",
    "version": 3
  }
}