Pith Number

pith:PJGFPBTJ

pith:2015:PJGFPBTJVZH657RK57LJKTCUMF

not attested not anchored not stored refs pending

Common hypercyclic vectors for high dimensional families of operators

Fr\'ed\'eric Bayart

arxiv:1503.08574 v1 · 2015-03-30 · math.FA · 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{PJGFPBTJVZH657RK57LJKTCUMF}

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	2026-05-18T02:20:01.365993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a4c578669ae4feefe2aefd6954c5461610acd5b9289e9f93144278700f86cb2

Aliases

arxiv: 1503.08574 · arxiv_version: 1503.08574v1 · doi: 10.48550/arxiv.1503.08574 · pith_short_12: PJGFPBTJVZH6 · pith_short_16: PJGFPBTJVZH657RK · pith_short_8: PJGFPBTJ

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/PJGFPBTJVZH657RK57LJKTCUMF \
  | 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: 7a4c578669ae4feefe2aefd6954c5461610acd5b9289e9f93144278700f86cb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b8067b8d9fb1ea85dc794439121cf65221f636854121cd20d96970368ab4a03",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-30T07:45:57Z",
    "title_canon_sha256": "7abdbebda6688268981448e5dd2db88d8ef1723444d6ac3d72bc895cf7fc3087"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08574",
    "kind": "arxiv",
    "version": 1
  }
}