Pith Number

pith:4OGQ2RLG

pith:2018:4OGQ2RLGPW4E6UXZELTDSQW5IM

not attested not anchored not stored refs pending

The Fock space as a de Branges-Rovnyak space

Daniel Alpay, Fabrizio Colombo, Irene Sabadini

arxiv:1812.07065 v1 · 2018-12-17 · 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{4OGQ2RLGPW4E6UXZELTDSQW5IM}

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	2026-05-17T23:58:08.109024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e38d0d45667db84f52f922e63942dd430057a7cfa2cc9814e88768edbd09e7e0

Aliases

arxiv: 1812.07065 · arxiv_version: 1812.07065v1 · doi: 10.48550/arxiv.1812.07065 · pith_short_12: 4OGQ2RLGPW4E · pith_short_16: 4OGQ2RLGPW4E6UXZ · pith_short_8: 4OGQ2RLG

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/4OGQ2RLGPW4E6UXZELTDSQW5IM \
  | 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: e38d0d45667db84f52f922e63942dd430057a7cfa2cc9814e88768edbd09e7e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27a673e1c79b6a9f55e2555d9eeaa9d03e785b7dcae3851f46899e0844790fed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-17T21:41:00Z",
    "title_canon_sha256": "40737279afabc1c7d57c3ade19852679b9bd71140846a500b9c0cb6ef34a703a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07065",
    "kind": "arxiv",
    "version": 1
  }
}