Pith Number

pith:TVX5PIBJ

pith:2018:TVX5PIBJZG4CI7WT7ZERFASCU2

not attested not anchored not stored refs pending

Algebrability of the set of hypercyclic vectors for backward shift operators

Javier Falc\'o, Karl-G. Grosse-Erdmann

arxiv:1807.04544 v1 · 2018-07-12 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TVX5PIBJZG4CI7WT7ZERFASCU2}

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	2026-05-18T00:10:53.142232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d6fd7a029c9b8247ed3fe49128242a6924b947872e29d5d52a492f32ce1f97c

Aliases

arxiv: 1807.04544 · arxiv_version: 1807.04544v1 · doi: 10.48550/arxiv.1807.04544 · pith_short_12: TVX5PIBJZG4C · pith_short_16: TVX5PIBJZG4CI7WT · pith_short_8: TVX5PIBJ

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/TVX5PIBJZG4CI7WT7ZERFASCU2 \
  | 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: 9d6fd7a029c9b8247ed3fe49128242a6924b947872e29d5d52a492f32ce1f97c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17b33c9160f4c807e7d6f5f3a0ca9b2fc3f96a334157e32cd4598209a6b92754",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-07-12T11:24:04Z",
    "title_canon_sha256": "63f3a3e4a18f6924f8fd433882b05d39c1ed3a6691c6b096cc3e67cde41ec4a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04544",
    "kind": "arxiv",
    "version": 1
  }
}