Pith Number

pith:ZNJLQ4UX

pith:2015:ZNJLQ4UXIYOPAR23FMQNIGFZNB

not attested not anchored not stored refs pending

Generation of semigroups for vector-valued pseudodifferential operators on the torus

Bienvenido Barraza Martinez, Jairo Hernandez Monzon, Robert Denk, Tobias Nau

arxiv:1504.04473 v1 · 2015-04-17 · 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{ZNJLQ4UXIYOPAR23FMQNIGFZNB}

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	2026-05-18T00:41:53.955476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb52b87297461cf0475b2b20d418b9686d48305ed212ffdd13e14396af5beeee

Aliases

arxiv: 1504.04473 · arxiv_version: 1504.04473v1 · doi: 10.48550/arxiv.1504.04473 · pith_short_12: ZNJLQ4UXIYOP · pith_short_16: ZNJLQ4UXIYOPAR23 · pith_short_8: ZNJLQ4UX

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/ZNJLQ4UXIYOPAR23FMQNIGFZNB \
  | 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: cb52b87297461cf0475b2b20d418b9686d48305ed212ffdd13e14396af5beeee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75257b91636e2da1cbb70214245074dec8f455b07e595f0d08320febf669b88e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-17T09:56:17Z",
    "title_canon_sha256": "3b1b53f304746424aaa26d22c04ca95f90ff388df27664bacb5a4791f6e0d31f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04473",
    "kind": "arxiv",
    "version": 1
  }
}