Pith Number

pith:LLOGCA52

pith:2012:LLOGCA52FIDTEOEMUEAZ6PFKWM

not attested not anchored not stored refs pending

Bilateral Hardy-type inequalities

Mu-Fa chen

arxiv:1206.5074 v1 · 2012-06-22 · math.PR · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLOGCA52FIDTEOEMUEAZ6PFKWM}

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	2026-05-18T03:52:52.413212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5adc6103ba2a0732388ca1019f3caab303446dae99edda9c23d07ef73aa3702b

Aliases

arxiv: 1206.5074 · arxiv_version: 1206.5074v1 · doi: 10.48550/arxiv.1206.5074 · pith_short_12: LLOGCA52FIDT · pith_short_16: LLOGCA52FIDTEOEM · pith_short_8: LLOGCA52

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/LLOGCA52FIDTEOEMUEAZ6PFKWM \
  | 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: 5adc6103ba2a0732388ca1019f3caab303446dae99edda9c23d07ef73aa3702b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b390be0813ce02afdec8ed22f11255d3d20b1bb314500f427013dd3876c2b89c",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-22T07:25:01Z",
    "title_canon_sha256": "a1f5e57d629a035e42df9e3394411598bf14eb87540a6304baad212a60d2fcd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5074",
    "kind": "arxiv",
    "version": 1
  }
}