Pith Number

pith:QR2ANANO

pith:2014:QR2ANANORRZ7MKWE645AI2HTD2

not attested not anchored not stored refs pending

Progress on Hardy-type Inequalities

Mu-Fa chen

arxiv:1412.0076 v1 · 2014-11-29 · 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{QR2ANANORRZ7MKWE645AI2HTD2}

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	2026-05-18T02:32:31.425973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84740681ae8c73f62ac4f73a0468f31eb3bf85acf14c7b98a72b207f3a8954d7

Aliases

arxiv: 1412.0076 · arxiv_version: 1412.0076v1 · doi: 10.48550/arxiv.1412.0076 · pith_short_12: QR2ANANORRZ7 · pith_short_16: QR2ANANORRZ7MKWE · pith_short_8: QR2ANANO

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/QR2ANANORRZ7MKWE645AI2HTD2 \
  | 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: 84740681ae8c73f62ac4f73a0468f31eb3bf85acf14c7b98a72b207f3a8954d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba3bd690a3073dd5d4b5cd396ce037acdc34315ba627c2ddf8b0e2622ff3addd",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-11-29T06:39:19Z",
    "title_canon_sha256": "aa5d027413a2dc67a2be9530f7e64bb85e701afa6767477a59da221fd56166cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0076",
    "kind": "arxiv",
    "version": 1
  }
}