Pith Number

pith:6RDZEWPC

pith:2012:6RDZEWPCIDAMVIT7ZW5BZPTHAD

not attested not anchored not stored refs pending

On weak$^*$-convergence in $H^1_L(\mathbb R^d)$

Luong Dang Ky

arxiv:1205.2542 v2 · 2012-05-11 · 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{6RDZEWPCIDAMVIT7ZW5BZPTHAD}

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	2026-05-18T03:33:26.036442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4479259e240c0caa27fcdba1cbe6700ddbbd212a9feb9de182d92bce31b6a95

Aliases

arxiv: 1205.2542 · arxiv_version: 1205.2542v2 · doi: 10.48550/arxiv.1205.2542 · pith_short_12: 6RDZEWPCIDAM · pith_short_16: 6RDZEWPCIDAMVIT7 · pith_short_8: 6RDZEWPC

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/6RDZEWPCIDAMVIT7ZW5BZPTHAD \
  | 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: f4479259e240c0caa27fcdba1cbe6700ddbbd212a9feb9de182d92bce31b6a95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79fba9ca8a89f6bda50ed853a82416ab57e35b624e9f774fe6a41acf2370b78c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-11T14:52:20Z",
    "title_canon_sha256": "8da0e68ccd95a83044f3ca38da1aa0007b579b4d4cf6dd1975a0601a34a32027"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2542",
    "kind": "arxiv",
    "version": 2
  }
}