Pith Number

pith:557W2I4O

pith:2005:557W2I4OVCDIEYSAAIFAZTBMVE

not attested not anchored not stored refs pending

Classification of contractively complemented Hilbertian operator spaces

Bernard Russo, Matthew Neal

arxiv:math/0510323 v1 · 2005-10-15 · math.OA · 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{557W2I4OVCDIEYSAAIFAZTBMVE}

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	2026-05-18T03:54:16.895877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef7f6d238ea886826240020a0ccc2ca930fa5949c971ccacda01932c7e2781d6

Aliases

arxiv: math/0510323 · arxiv_version: math/0510323v1 · doi: 10.48550/arxiv.math/0510323 · pith_short_12: 557W2I4OVCDI · pith_short_16: 557W2I4OVCDIEYSA · pith_short_8: 557W2I4O

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/557W2I4OVCDIEYSAAIFAZTBMVE \
  | 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: ef7f6d238ea886826240020a0ccc2ca930fa5949c971ccacda01932c7e2781d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a193919de41cd9aac8386982a96644d453674dd0b812621d67fce756baf23e2c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2005-10-15T20:58:39Z",
    "title_canon_sha256": "ba583e3813ec4f82bf2e782dfd9cc7c57467d64d382e47ae7069d66777c1befb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510323",
    "kind": "arxiv",
    "version": 1
  }
}