Pith Number

pith:DH5RPMVA

pith:2012:DH5RPMVA63BR2NQELVQ4WN2FLK

not attested not anchored not stored refs pending

Fock-Sobolev spaces and their Carleson measures

Hongrae Cho, Kehe Zhu

arxiv:1212.0737 v1 · 2012-12-04 · math.CV · 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{DH5RPMVA63BR2NQELVQ4WN2FLK}

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	2026-05-18T03:39:15.373774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19fb17b2a0f6c31d36045d61cb37455a90f6c1af5b283313b614fa1e314813f7

Aliases

arxiv: 1212.0737 · arxiv_version: 1212.0737v1 · doi: 10.48550/arxiv.1212.0737 · pith_short_12: DH5RPMVA63BR · pith_short_16: DH5RPMVA63BR2NQE · pith_short_8: DH5RPMVA

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/DH5RPMVA63BR2NQELVQ4WN2FLK \
  | 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: 19fb17b2a0f6c31d36045d61cb37455a90f6c1af5b283313b614fa1e314813f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c58a15a45727bf7bae7a66c4590ccf99c2bf41d0bb0699409eda69b908d5a4a8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-12-04T14:28:28Z",
    "title_canon_sha256": "dd7707d935254709cb8b3d52a770c7f1222b45ba9d7f3d0898c60309ee7531f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0737",
    "kind": "arxiv",
    "version": 1
  }
}