Pith Number

pith:FM2CJKMY

pith:2012:FM2CJKMYG23AD3FPJLJ7FT53TJ

not attested not anchored not stored refs pending

Gabor representations of evolution operators

Elena Cordero, Fabio Nicola, Luigi Rodino

arxiv:1209.0945 v3 · 2012-09-05 · math.FA · 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{FM2CJKMYG23AD3FPJLJ7FT53TJ}

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	2026-05-18T02:26:53.170619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b3424a99836b601ecaf4ad3f2cfbb9a60daf41148ce389f2650b21da5c41425

Aliases

arxiv: 1209.0945 · arxiv_version: 1209.0945v3 · doi: 10.48550/arxiv.1209.0945 · pith_short_12: FM2CJKMYG23A · pith_short_16: FM2CJKMYG23AD3FP · pith_short_8: FM2CJKMY

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/FM2CJKMYG23AD3FPJLJ7FT53TJ \
  | 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: 2b3424a99836b601ecaf4ad3f2cfbb9a60daf41148ce389f2650b21da5c41425

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c06f52a78d417b74d58508f6eb32b91f146998e70516bf5f1b5648f210a021a4",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-05T12:20:49Z",
    "title_canon_sha256": "35390a46bfc8aa92596c3528919b2c8c011eb9e2b2090476255d894967f0b9e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0945",
    "kind": "arxiv",
    "version": 3
  }
}