Pith Number

pith:7E3WRWDO

pith:2010:7E3WRWDOCWUU3FKDIAELLPF7SP

not attested not anchored not stored refs pending

Frequent hypercyclicity, chaos, and unconditional Schauder decompositions

Alfredo Peris, Leonhard Frerick, Manuel De la Rosa, Sophie Grivaux

arxiv:1005.1416 v2 · 2010-05-09 · 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{7E3WRWDOCWUU3FKDIAELLPF7SP}

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	2026-05-18T04:39:10.060588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f93768d86e15a94d95434008b5bcbf93f289008094ee83901f7af13d9cae79e0

Aliases

arxiv: 1005.1416 · arxiv_version: 1005.1416v2 · doi: 10.48550/arxiv.1005.1416 · pith_short_12: 7E3WRWDOCWUU · pith_short_16: 7E3WRWDOCWUU3FKD · pith_short_8: 7E3WRWDO

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/7E3WRWDOCWUU3FKDIAELLPF7SP \
  | 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: f93768d86e15a94d95434008b5bcbf93f289008094ee83901f7af13d9cae79e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97bc0a63999afce5074025edc7e4b373a00c2ec905677dc80badbc82d33519a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-05-09T18:22:52Z",
    "title_canon_sha256": "fd1fd60f8854b18971bb39d90812787196a7302d2f571ca26ee4eec7e17c30a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1416",
    "kind": "arxiv",
    "version": 2
  }
}