Pith Number

pith:NTVFLTBI

pith:2014:NTVFLTBIJX6SXKAKIGCXUDD7HY

not attested not anchored not stored refs pending

Cyclicity and invariant subspaces in the Dirichlet spaces

Karim Kellay (IMB), Omar El-Fallah, Youssef Elmadani

arxiv:1411.4977 v3 · 2014-11-18 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NTVFLTBIJX6SXKAKIGCXUDD7HY}

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	2026-05-18T01:20:56.149436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cea55cc284dfd2ba80a41857a0c7f3e05dd07a4556b7ebd87bce4f2b91c4c6b

Aliases

arxiv: 1411.4977 · arxiv_version: 1411.4977v3 · doi: 10.48550/arxiv.1411.4977 · pith_short_12: NTVFLTBIJX6S · pith_short_16: NTVFLTBIJX6SXKAK · pith_short_8: NTVFLTBI

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/NTVFLTBIJX6SXKAKIGCXUDD7HY \
  | 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: 6cea55cc284dfd2ba80a41857a0c7f3e05dd07a4556b7ebd87bce4f2b91c4c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba24da6836307962b786c539dac7a4da1a491b35f295dacad492c6ae5bf886c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-11-18T19:40:50Z",
    "title_canon_sha256": "b81a33ecbeeacb856e08e8e8b13244372f849195595225e9821a01752311e33a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4977",
    "kind": "arxiv",
    "version": 3
  }
}