Pith Number

pith:6LOUMQGX

pith:2015:6LOUMQGXKN5RMTL3CG5SNR5UMX

not attested not anchored not stored refs pending

Matrix $A_p$ weights, degenerate Sobolev spaces, and mappings of finite distortion

David Cruz-Uribe, Kabe Moen, Scott Rodney

arxiv:1505.00699 v1 · 2015-05-04 · 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{6LOUMQGXKN5RMTL3CG5SNR5UMX}

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	2026-05-18T02:17:02.075061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2dd4640d7537b164d7b11bb26c7b465c7227b1f8d00ae6c105260821db05f73

Aliases

arxiv: 1505.00699 · arxiv_version: 1505.00699v1 · doi: 10.48550/arxiv.1505.00699 · pith_short_12: 6LOUMQGXKN5R · pith_short_16: 6LOUMQGXKN5RMTL3 · pith_short_8: 6LOUMQGX

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/6LOUMQGXKN5RMTL3CG5SNR5UMX \
  | 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: f2dd4640d7537b164d7b11bb26c7b465c7227b1f8d00ae6c105260821db05f73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76a3edec1479c7897e344d7ba328bffef3f8faf6e6417dd87825b5eb9bd5fb09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-04T16:36:10Z",
    "title_canon_sha256": "4bc6d193eb50d805efccc7189fcab5b2650c0d2a6a0b91b21901e2dba7e181b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00699",
    "kind": "arxiv",
    "version": 1
  }
}