Pith Number

pith:ZPMBMXY6

pith:2014:ZPMBMXY6EPLXL6BE7LRYVBFEU4

not attested not anchored not stored refs pending

Frequently hypercyclic translation semigroups

Elisabetta M. Mangino, Marina Murillo-Arcila

arxiv:1407.4637 v2 · 2014-07-17 · 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{ZPMBMXY6EPLXL6BE7LRYVBFEU4}

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	2026-05-18T01:32:50.787740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbd8165f1e23d775f824fae38a84a4a711d4542ce53f8282269c4e1dfb64d872

Aliases

arxiv: 1407.4637 · arxiv_version: 1407.4637v2 · doi: 10.48550/arxiv.1407.4637 · pith_short_12: ZPMBMXY6EPLX · pith_short_16: ZPMBMXY6EPLXL6BE · pith_short_8: ZPMBMXY6

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/ZPMBMXY6EPLXL6BE7LRYVBFEU4 \
  | 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: cbd8165f1e23d775f824fae38a84a4a711d4542ce53f8282269c4e1dfb64d872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b167e3b477089b6e8db16430e694c5c72d27f297b8ff843e93a5f0f12d44c62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-07-17T11:18:44Z",
    "title_canon_sha256": "ba15a1f0c92442b0e6fb5b08808b1844156747169faae1788ba7ede52d9bec97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4637",
    "kind": "arxiv",
    "version": 2
  }
}