Pith Number

pith:DOH5WIEP

pith:2016:DOH5WIEPAYBNNZUU4ULVN6EIIP

not attested not anchored not stored refs pending

Interpolation for Hardy Spaces: Marcinkiewicz decomposition, Complex Interpolation and Holomorphic Martingales

Paul F.X. M\"uller, Peter Yuditskii

arxiv:1609.07364 v1 · 2016-09-23 · 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{DOH5WIEPAYBNNZUU4ULVN6EIIP}

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	2026-05-18T01:04:01.507882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b8fdb208f0602d6e694e51756f88843c214097bc90cf70a7b38488dc5fea93b

Aliases

arxiv: 1609.07364 · arxiv_version: 1609.07364v1 · doi: 10.48550/arxiv.1609.07364 · pith_short_12: DOH5WIEPAYBN · pith_short_16: DOH5WIEPAYBNNZUU · pith_short_8: DOH5WIEP

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/DOH5WIEPAYBNNZUU4ULVN6EIIP \
  | 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: 1b8fdb208f0602d6e694e51756f88843c214097bc90cf70a7b38488dc5fea93b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b93f9171c6d754fe670d2361dd342b95cadb0533534e87c3580eaae905a1df13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-23T13:52:28Z",
    "title_canon_sha256": "eb63a3a8bf7032b2ada0c2acdc138dddf0fbdad784e089a0e93eda3b86ebf5d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07364",
    "kind": "arxiv",
    "version": 1
  }
}