Pith Number

pith:BY6AFB2I

pith:2018:BY6AFB2ITPWPSZB5YOB2O5YJP5

not attested not anchored not stored refs pending

Pseudodifferential calculus on noncommutative tori, I. Oscillating integrals

Gihyun Lee, Hyunsu Ha, Raphael Ponge

arxiv:1803.03575 v3 · 2018-03-09 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BY6AFB2ITPWPSZB5YOB2O5YJP5}

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

Algebraic Calder\'on-Zygmund theory

Receipt and verification

First computed	2026-05-17T23:49:17.772176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e3c0287489becf9643dc383a777097f4ce6a438d62188884d2134132e9187a4

Aliases

arxiv: 1803.03575 · arxiv_version: 1803.03575v3 · doi: 10.48550/arxiv.1803.03575 · pith_short_12: BY6AFB2ITPWP · pith_short_16: BY6AFB2ITPWPSZB5 · pith_short_8: BY6AFB2I

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/BY6AFB2ITPWPSZB5YOB2O5YJP5 \
  | 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: 0e3c0287489becf9643dc383a777097f4ce6a438d62188884d2134132e9187a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "681b020ed52313e036ea7e32e66f23fc2d2c9a50cec6facb4fac13d1f6916fea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-03-09T15:47:44Z",
    "title_canon_sha256": "313760a3267523982bba35910a19ad222173cdba9cfb8ea63db3243f75a5f00f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03575",
    "kind": "arxiv",
    "version": 3
  }
}