Pith Number

pith:QQ5H2BI7

pith:2015:QQ5H2BI7V2UOSRN76OBGLJDPUC

not attested not anchored not stored refs pending

Multiplication in Sobolev Spaces, Revisited

A. Behzadan, M. Holst

arxiv:1512.07379 v3 · 2015-12-23 · 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{QQ5H2BI7V2UOSRN76OBGLJDPUC}

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.

Cited by

1 paper in Pith

Detecting screens modeled by Schr\"odinger operators that generate $C_0$ contraction semigroups

Receipt and verification

First computed	2026-07-05T02:18:26.778711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843a7d051faea8e945bff38265a46fa0acbd786be48c9c991213e91d7f25b14a

Aliases

arxiv: 1512.07379 · arxiv_version: 1512.07379v3 · doi: 10.48550/arxiv.1512.07379 · pith_short_12: QQ5H2BI7V2UO · pith_short_16: QQ5H2BI7V2UOSRN7 · pith_short_8: QQ5H2BI7

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/QQ5H2BI7V2UOSRN76OBGLJDPUC \
  | 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: 843a7d051faea8e945bff38265a46fa0acbd786be48c9c991213e91d7f25b14a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c632d3ecb8dd8b861ee41b406dc3e9b739afc41883ba3ea88b19d9b05f06df65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-23T07:52:17Z",
    "title_canon_sha256": "bf453762ea5b88027012155ecca10e1a60d6be7b1b71e4d7b0c497ea99b083c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07379",
    "kind": "arxiv",
    "version": 3
  }
}