Pith Number

pith:7QHGOJ2I

pith:2019:7QHGOJ2IBIGV2MPL5DFRLIAVWE

not attested not anchored not stored refs pending

Counterexamples for bi-parameter Carleson embedding

Alexander Volberg, Georgios Psaromiligkos, Pavel Mozolyako

arxiv:1906.11145 v2 · 2019-06-26 · math.AP · 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{7QHGOJ2IBIGV2MPL5DFRLIAVWE}

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	2026-05-17T23:42:01.952235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc0e6727480a0d5d31ebe8cb15a015b13f5365939500dd351136a76f453cff27

Aliases

arxiv: 1906.11145 · arxiv_version: 1906.11145v2 · doi: 10.48550/arxiv.1906.11145 · pith_short_12: 7QHGOJ2IBIGV · pith_short_16: 7QHGOJ2IBIGV2MPL · pith_short_8: 7QHGOJ2I

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/7QHGOJ2IBIGV2MPL5DFRLIAVWE \
  | 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: fc0e6727480a0d5d31ebe8cb15a015b13f5365939500dd351136a76f453cff27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e769f129f754e004d4a3a24d8625355065690c5f94407a81b972a404fc8d7dff",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-26T15:00:14Z",
    "title_canon_sha256": "4a109034270a7c61c9178b408ce92fc34a0810ff8f36fa24e5e55f7e4dd4bdd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11145",
    "kind": "arxiv",
    "version": 2
  }
}