Pith Number

pith:25CMK2DI

pith:2011:25CMK2DIY4SGQ73FNNATAOTOQ6

not attested not anchored not stored refs pending

Isomorphisms and strictly singular operators in mixed Tsirelson spaces

Anna Pelczar-Barwacz, Antonis Manoussakis, Denka Kutzarova

arxiv:1107.2810 v1 · 2011-07-14 · 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{25CMK2DIY4SGQ73FNNATAOTOQ6}

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	2026-05-18T04:18:15.654357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d744c56868c724687f656b41303a6e87b74975091123e20e87faa514c3aa993c

Aliases

arxiv: 1107.2810 · arxiv_version: 1107.2810v1 · doi: 10.48550/arxiv.1107.2810 · pith_short_12: 25CMK2DIY4SG · pith_short_16: 25CMK2DIY4SGQ73F · pith_short_8: 25CMK2DI

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/25CMK2DIY4SGQ73FNNATAOTOQ6 \
  | 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: d744c56868c724687f656b41303a6e87b74975091123e20e87faa514c3aa993c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df601698a654855b114517017511a76b283508a885d1f7ddfb33f3b5e6b67c7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-07-14T13:06:37Z",
    "title_canon_sha256": "14e4a3f97c4d47d0d939a22fda77d7eca6df1fc352859042d042d14c5da94043"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2810",
    "kind": "arxiv",
    "version": 1
  }
}