Pith Number

pith:QB6P5NVM

pith:2019:QB6P5NVMYKGTHOE6KNVAQJNYEI

not attested not anchored not stored refs pending

An Improved Compact Embedding Theorem for Degenerate Sobolev Spaces

Dario D. Monticelli, Scott Rodney

arxiv:1908.05642 v1 · 2019-08-15 · math.AP · 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{QB6P5NVMYKGTHOE6KNVAQJNYEI}

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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.

Cited by

1 paper in Pith

Compact Embedding Theorem Associated with Classical Weight Functions in Two Variables

Receipt and verification

First computed	2026-07-04T23:56:54.582890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

807cfeb6acc28d33b89e536a0825b8220dbb8bfcc7af3538112c0785882de42f

Aliases

arxiv: 1908.05642 · arxiv_version: 1908.05642v1 · doi: 10.48550/arxiv.1908.05642 · pith_short_12: QB6P5NVMYKGT · pith_short_16: QB6P5NVMYKGTHOE6 · pith_short_8: QB6P5NVM

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/QB6P5NVMYKGTHOE6KNVAQJNYEI \
  | 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: 807cfeb6acc28d33b89e536a0825b8220dbb8bfcc7af3538112c0785882de42f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd13c3ccdefc0c1fdeb9102ad882fc7e7fe95270f8596d27de61eae3e204d7e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-15T17:18:24Z",
    "title_canon_sha256": "4647e929acd08f5eec6f12e815776daf5f8e72b222e17304081c3ffe9111cddf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05642",
    "kind": "arxiv",
    "version": 1
  }
}