Pith Number

pith:GXDHOMRE

pith:2015:GXDHOMRENXJPNJQANRPDZIWTU3

not attested not anchored not stored refs pending

Composition operators on the Schwartz space

Antonio Galbis, Enrique Jord\'a

arxiv:1511.03072 v1 · 2015-11-10 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXDHOMRENXJPNJQANRPDZIWTU3}

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	2026-05-18T01:27:17.076383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35c67732246dd2f6a6006c5e3ca2d3a6d19dfce02d64d351704f6a917c3dcd68

Aliases

arxiv: 1511.03072 · arxiv_version: 1511.03072v1 · doi: 10.48550/arxiv.1511.03072 · pith_short_12: GXDHOMRENXJP · pith_short_16: GXDHOMRENXJPNJQA · pith_short_8: GXDHOMRE

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/GXDHOMRENXJPNJQANRPDZIWTU3 \
  | 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: 35c67732246dd2f6a6006c5e3ca2d3a6d19dfce02d64d351704f6a917c3dcd68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb6ad74f0ee2104dc650b18294c1da5c23233ac1518b780695c72c3c99dcf66d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-11-10T11:57:15Z",
    "title_canon_sha256": "9249676e49a8905d4f96a844889e05c09cd4c7338bc3f20dbce2d035110220d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03072",
    "kind": "arxiv",
    "version": 1
  }
}