Pith Number

pith:ZZO226DS

pith:2016:ZZO226DSAVUC3EB5RBDK73UEAI

not attested not anchored not stored refs pending

The H\"ormander multiplier theorem I: The Linear Case

Danqing He, Hanh Nguyen, Loukas Grafakos, Petr Honz\'ik

arxiv:1607.02620 v1 · 2016-07-09 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZO226DSAVUC3EB5RBDK73UEAI}

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	2026-05-18T01:11:16.633057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce5dad787205682d903d8846afee84020c8bbdda0611f922618f4ee0a7a39a26

Aliases

arxiv: 1607.02620 · arxiv_version: 1607.02620v1 · doi: 10.48550/arxiv.1607.02620 · pith_short_12: ZZO226DSAVUC · pith_short_16: ZZO226DSAVUC3EB5 · pith_short_8: ZZO226DS

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/ZZO226DSAVUC3EB5RBDK73UEAI \
  | 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: ce5dad787205682d903d8846afee84020c8bbdda0611f922618f4ee0a7a39a26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6cf60baeea146bfb6033a4e98f64301a2917981f5b12488eea51a826551f8e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-07-09T15:02:51Z",
    "title_canon_sha256": "a4417a72a4d07c28c5268ab8ce2f59edc28cb93029d089e39719c13a58528a61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02620",
    "kind": "arxiv",
    "version": 1
  }
}