Pith Number

pith:NBPAMXID

pith:2017:NBPAMXIDFD3BWKBSIOCPXTM2VD

not attested not anchored not stored refs pending

Smoothing Properties of the Friedrichs Operator on $L^p$ spaces

Liwei Chen, Yunus E. Zeytuncu

arxiv:1709.00238 v3 · 2017-09-01 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NBPAMXIDFD3BWKBSIOCPXTM2VD}

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	2026-05-18T00:27:52.277801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

685e065d0328f61b28324384fbcd9aa8fa29510341c5f859fb3ad148f09223c3

Aliases

arxiv: 1709.00238 · arxiv_version: 1709.00238v3 · doi: 10.48550/arxiv.1709.00238 · pith_short_12: NBPAMXIDFD3B · pith_short_16: NBPAMXIDFD3BWKBS · pith_short_8: NBPAMXID

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/NBPAMXIDFD3BWKBSIOCPXTM2VD \
  | 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: 685e065d0328f61b28324384fbcd9aa8fa29510341c5f859fb3ad148f09223c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9c6b942526682243d2e57640e1fa9f8bb3ac5d572207a679260a136253bbc3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-09-01T10:42:37Z",
    "title_canon_sha256": "f52047164ea973163ad0ca0ed3fa28813a77ad2ad2400e7c62aef3d7753efc91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00238",
    "kind": "arxiv",
    "version": 3
  }
}