Pith Number

pith:D3U2LP72

pith:2016:D3U2LP7237QKCKSTA4KWZCTYUQ

not attested not anchored not stored refs pending

Hypercyclicity Properties of Commutator Maps

Clifford Gilmore, Eero Saksman, Hans-Olav Tylli

arxiv:1609.04986 v1 · 2016-09-16 · 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{D3U2LP7237QKCKSTA4KWZCTYUQ}

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	2026-05-18T00:49:42.119670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ee9a5bffadfe0a12a5307156c8a78a404049c8c4a03e5c3d2b8de0fda8c2c2e

Aliases

arxiv: 1609.04986 · arxiv_version: 1609.04986v1 · doi: 10.48550/arxiv.1609.04986 · pith_short_12: D3U2LP7237QK · pith_short_16: D3U2LP7237QKCKST · pith_short_8: D3U2LP72

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/D3U2LP7237QKCKSTA4KWZCTYUQ \
  | 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: 1ee9a5bffadfe0a12a5307156c8a78a404049c8c4a03e5c3d2b8de0fda8c2c2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61ca22b2327de73429326d6981fd8fddac4bb2644e305109e6770216d1c99f5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-16T10:32:01Z",
    "title_canon_sha256": "171734d902893ebe0643f10176a8f699ae25c6deeadcb7849308ad69c44c2dab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04986",
    "kind": "arxiv",
    "version": 1
  }
}