Pith Number

pith:KNTAFQC3

pith:2016:KNTAFQC3TQRXYFRI65PDRXHIHG

not attested not anchored not stored refs pending

Time-frequency Analysis of Born-Jordan Pseudodifferential Operators

Elena Cordero, Fabio Nicola, Maurice de Gosson

arxiv:1601.05303 v1 · 2016-01-20 · math.FA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNTAFQC3TQRXYFRI65PDRXHIHG}

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	2026-05-18T00:20:27.796625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

536602c05b9c237c1628f75e38dce83987448735327505633f9a4ce9172b2171

Aliases

arxiv: 1601.05303 · arxiv_version: 1601.05303v1 · doi: 10.48550/arxiv.1601.05303 · pith_short_12: KNTAFQC3TQRX · pith_short_16: KNTAFQC3TQRXYFRI · pith_short_8: KNTAFQC3

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/KNTAFQC3TQRXYFRI65PDRXHIHG \
  | 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: 536602c05b9c237c1628f75e38dce83987448735327505633f9a4ce9172b2171

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e691c7694e89f0fe74b0332f320325558b631cf4649fca8ad025d5de814e4ca1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-01-20T15:31:14Z",
    "title_canon_sha256": "930ed954985a855a7871df96a8a0c7129df28c731f64d45fc61d2455cfbdf1bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05303",
    "kind": "arxiv",
    "version": 1
  }
}