Pith Number

pith:UCFPI6LT

pith:2010:UCFPI6LTDS7TIW7E4MCO4DMCFX

not attested not anchored not stored refs pending

A new class of frequently hypercyclic operators

Sophie Grivaux

arxiv:1001.2026 v3 · 2010-01-12 · 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{UCFPI6LTDS7TIW7E4MCO4DMCFX}

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	2026-05-18T04:40:57.290941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a08af479731cbf345be4e304ee0d822dcfb4713c796f4d43eb00349a488f2481

Aliases

arxiv: 1001.2026 · arxiv_version: 1001.2026v3 · doi: 10.48550/arxiv.1001.2026 · pith_short_12: UCFPI6LTDS7T · pith_short_16: UCFPI6LTDS7TIW7E · pith_short_8: UCFPI6LT

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/UCFPI6LTDS7TIW7E4MCO4DMCFX \
  | 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: a08af479731cbf345be4e304ee0d822dcfb4713c796f4d43eb00349a488f2481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1f86bb04ea779828351a8a5902ac213088952508698111a8f362e83b88b5e6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-01-12T21:22:22Z",
    "title_canon_sha256": "4359192211a1957d3ca3bf9d837ca7533fa915bff5b520ac813aded949887ca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2026",
    "kind": "arxiv",
    "version": 3
  }
}