Pith Number

pith:AP24GUI2

pith:2013:AP24GUI2P23FT4UNB4AYM6CUI7

not attested not anchored not stored refs pending

Exponentially sparse representations of Fourier integral operators

Elena Cordero, Fabio Nicola, Luigi Rodino

arxiv:1301.1599 v2 · 2013-01-08 · 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{AP24GUI2P23FT4UNB4AYM6CUI7}

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	2026-05-18T01:36:39.158657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03f5c3511a7eb659f28d0f0186785447eeab352d3b075a980f97564f2d827016

Aliases

arxiv: 1301.1599 · arxiv_version: 1301.1599v2 · doi: 10.48550/arxiv.1301.1599 · pith_short_12: AP24GUI2P23F · pith_short_16: AP24GUI2P23FT4UN · pith_short_8: AP24GUI2

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/AP24GUI2P23FT4UNB4AYM6CUI7 \
  | 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: 03f5c3511a7eb659f28d0f0186785447eeab352d3b075a980f97564f2d827016

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fa3daeac7e035e214434685b6e5f7fff7ba0b430f6c60a48d40ffd0cbc5fd4f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-08T17:14:36Z",
    "title_canon_sha256": "76e4963f3932516528f639fe8465ef1ea02bbf6b51bfc1f49580b79fa50fe22f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1599",
    "kind": "arxiv",
    "version": 2
  }
}