Pith Number

pith:5KXTGSVK

pith:2015:5KXTGSVK75SDUCAZMCHKY6MVUK

not attested not anchored not stored refs pending

Estimates for vector-valued holomorphic functions and Littlewood-Paley-Stein theory

Lutz Weis, Mark Veraar

arxiv:1506.08013 v2 · 2015-06-26 · 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{5KXTGSVK75SDUCAZMCHKY6MVUK}

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	2026-05-18T01:32:00.287026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaaf334aaaff643a0819608eac7995a2a57183e1d9d3819897171dd9c103aeff

Aliases

arxiv: 1506.08013 · arxiv_version: 1506.08013v2 · doi: 10.48550/arxiv.1506.08013 · pith_short_12: 5KXTGSVK75SD · pith_short_16: 5KXTGSVK75SDUCAZ · pith_short_8: 5KXTGSVK

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/5KXTGSVK75SDUCAZMCHKY6MVUK \
  | 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: eaaf334aaaff643a0819608eac7995a2a57183e1d9d3819897171dd9c103aeff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d70805eec2c49d78efc7ab7f4ba3ddc6687e2ad3bbdf47f6f672d3a786227fb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-06-26T09:52:20Z",
    "title_canon_sha256": "4efe9646b465da29607fb35e674ade81ddfe25ce69fd119156954d00740c3891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08013",
    "kind": "arxiv",
    "version": 2
  }
}