Pith Number

pith:JBC3O3PH

pith:2012:JBC3O3PHF4OMFT2CXDE2SZM7LI

not attested not anchored not stored refs pending

Hypercyclic subspaces and weighted shifts

Quentin Menet

arxiv:1208.4963 v1 · 2012-08-24 · 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{JBC3O3PHF4OMFT2CXDE2SZM7LI}

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	2026-05-18T02:58:43.529693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4845b76de72f1cc2cf42b8c9a9659f5a062a2f1f8098b04b1f2711fd4688c3aa

Aliases

arxiv: 1208.4963 · arxiv_version: 1208.4963v1 · doi: 10.48550/arxiv.1208.4963 · pith_short_12: JBC3O3PHF4OM · pith_short_16: JBC3O3PHF4OMFT2C · pith_short_8: JBC3O3PH

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/JBC3O3PHF4OMFT2CXDE2SZM7LI \
  | 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: 4845b76de72f1cc2cf42b8c9a9659f5a062a2f1f8098b04b1f2711fd4688c3aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0984fff1e34b2d6cdeda0064453c0f2319ea89e9a1adb586dfa887de957a5e08",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-24T12:43:23Z",
    "title_canon_sha256": "7040d182640332c6cdee9b977d39a9b3bdae0352abcf3bebaa2f56dafe8c39d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4963",
    "kind": "arxiv",
    "version": 1
  }
}