Pith Number

pith:DWPZU2WL

pith:2011:DWPZU2WLTJJJRRVG2MYBKNCPSJ

not attested not anchored not stored refs pending

On a family of frames for Krein spaces

A. Maestripieri, F. Mart\'inez Per\'ia, J. I. Giribet, P. Massey

arxiv:1112.1632 v1 · 2011-12-07 · 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{DWPZU2WLTJJJRRVG2MYBKNCPSJ}

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	2026-05-18T04:06:46.624585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d9f9a6acb9a5298c6a6d33015344f925166ff8d0b6e65cd50b8d5fcd2770f90

Aliases

arxiv: 1112.1632 · arxiv_version: 1112.1632v1 · doi: 10.48550/arxiv.1112.1632 · pith_short_12: DWPZU2WLTJJJ · pith_short_16: DWPZU2WLTJJJRRVG · pith_short_8: DWPZU2WL

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/DWPZU2WLTJJJRRVG2MYBKNCPSJ \
  | 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: 1d9f9a6acb9a5298c6a6d33015344f925166ff8d0b6e65cd50b8d5fcd2770f90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bcb25cba63e565a4e5cb108c3e863fd3fcb47e4e1fe7bab54ffa7c219d7c6c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-07T17:18:32Z",
    "title_canon_sha256": "102b6e5cc414e5d881499b8f6232fc766cda8fcf1abd647962ec0afdf521496c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1632",
    "kind": "arxiv",
    "version": 1
  }
}