Pith Number

pith:EBLYU4QO

pith:2016:EBLYU4QOSYVPLWIQJACFAGYWJZ

not attested not anchored not stored refs pending

On weighted mixed-norm Sobolev estimates for some basic parabolic equations

J. L. Torrea, L. Ping, P. R. Stinga

arxiv:1602.00757 v4 · 2016-02-02 · math.AP · math.CA · 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{EBLYU4QOSYVPLWIQJACFAGYWJZ}

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	2026-05-18T00:53:34.681750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20578a720e962af5d9104804501b164e542604043170b1e94d0cfe1526faae77

Aliases

arxiv: 1602.00757 · arxiv_version: 1602.00757v4 · doi: 10.48550/arxiv.1602.00757 · pith_short_12: EBLYU4QOSYVP · pith_short_16: EBLYU4QOSYVPLWIQ · pith_short_8: EBLYU4QO

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/EBLYU4QOSYVPLWIQJACFAGYWJZ \
  | 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: 20578a720e962af5d9104804501b164e542604043170b1e94d0cfe1526faae77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce525bd498ea56427fb24158db07669486717a3a6757ea23805983821ed5536c",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-02T00:43:44Z",
    "title_canon_sha256": "f986f427ed8b0adb9439963c90906b37dbf4c321a482350295c50f06125c0ae2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00757",
    "kind": "arxiv",
    "version": 4
  }
}