Pith Number

pith:USEYY7GU

pith:2018:USEYY7GUXJB2RDEV2DUEK5AOWW

not attested not anchored not stored refs pending

Pseudodifferential calculus on noncommutative tori, II. Main properties

Gihyun Lee, Hyunsu Ha, Raphael Ponge

arxiv:1803.03580 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{USEYY7GUXJB2RDEV2DUEK5AOWW}

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	2026-05-17T23:49:17.763939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4898c7cd4ba43a88c95d0e845740eb5a61610c622baae040e452e536f93663d

Aliases

arxiv: 1803.03580 · arxiv_version: 1803.03580v3 · doi: 10.48550/arxiv.1803.03580 · pith_short_12: USEYY7GUXJB2 · pith_short_16: USEYY7GUXJB2RDEV · pith_short_8: USEYY7GU

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/USEYY7GUXJB2RDEV2DUEK5AOWW \
  | 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: a4898c7cd4ba43a88c95d0e845740eb5a61610c622baae040e452e536f93663d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ca9a2f0f153a4056e123dc78bc1a679e2a09d08bdef1576904abf41942913ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-03-09T15:56:13Z",
    "title_canon_sha256": "9bce9844545e9cd5c5125f5571ac2759c9bd9c499f8a4f785ecd7f2458455cc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03580",
    "kind": "arxiv",
    "version": 3
  }
}