Pith Number

pith:PQXX3E4J

pith:2015:PQXX3E4JA5DMQEUBPVQO3J5X26

not attested not anchored not stored refs pending

Projection operators on matrix weighted $L^p$ and a simple sufficient Muckenhoupt condition

Morten Grud Rasmussen, Morten Nielsen

arxiv:1503.01961 v1 · 2015-03-06 · 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{PQXX3E4JA5DMQEUBPVQO3J5X26}

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	2026-05-18T02:25:27.167850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c2f7d93890746c812817d60eda7b7d7b3e49b8a0e56910430f39f38d0afcb29

Aliases

arxiv: 1503.01961 · arxiv_version: 1503.01961v1 · doi: 10.48550/arxiv.1503.01961 · pith_short_12: PQXX3E4JA5DM · pith_short_16: PQXX3E4JA5DMQEUB · pith_short_8: PQXX3E4J

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/PQXX3E4JA5DMQEUBPVQO3J5X26 \
  | 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: 7c2f7d93890746c812817d60eda7b7d7b3e49b8a0e56910430f39f38d0afcb29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2061becd220cf1d165c6e095445644c4dbdb85bb7112fcd0a5f147ce1e79ef45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-06T14:04:33Z",
    "title_canon_sha256": "ed91c9d2d32326b0bbb3ee496f880eca83199cd35ee1a5905f59764baba9e173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01961",
    "kind": "arxiv",
    "version": 1
  }
}