Pith Number

pith:AHXY3OBB

pith:2014:AHXY3OBBPF2YBPCJCNYHH43Q77

not attested not anchored not stored refs pending

A T(P) theorem for Sobolev spaces on domains

Mart\'i Prats, Xavier Tolsa

arxiv:1406.4769 v3 · 2014-06-18 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AHXY3OBBPF2YBPCJCNYHH43Q77}

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	2026-05-18T01:36:58.380820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01ef8db821797580bc49137073f370ffce5a3f76a9b017e0dac7cad44442d29c

Aliases

arxiv: 1406.4769 · arxiv_version: 1406.4769v3 · doi: 10.48550/arxiv.1406.4769 · pith_short_12: AHXY3OBBPF2Y · pith_short_16: AHXY3OBBPF2YBPCJ · pith_short_8: AHXY3OBB

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/AHXY3OBBPF2YBPCJCNYHH43Q77 \
  | 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: 01ef8db821797580bc49137073f370ffce5a3f76a9b017e0dac7cad44442d29c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee11d84c5864c7fc9721937d7717f51c9cfb6e33cdafffbfb71fbe93d365892c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-06-18T15:35:59Z",
    "title_canon_sha256": "58badd2adf6ce5924deeb564ea999bd7c70bb15ee6f6f0ba8c3de94de39701e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4769",
    "kind": "arxiv",
    "version": 3
  }
}