Pith Number

pith:3NBFD4W6

pith:2006:3NBFD4W62SP656ODJ3VRDZHGZD

not attested not anchored not stored refs pending

The complexity of classifying separable Banach spaces up to isomorphism

Alain Louveau, Christian Rosendal, Valentin Ferenczi

arxiv:math/0610289 v1 · 2006-10-09 · math.FA · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NBFD4W62SP656ODJ3VRDZHGZD}

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	2026-05-18T02:57:45.484213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db4251f2ded49feef9c34eeb11e4e6c8c51ba738dc89de887cc1f62fa22451ae

Aliases

arxiv: math/0610289 · arxiv_version: math/0610289v1 · doi: 10.48550/arxiv.math/0610289 · pith_short_12: 3NBFD4W62SP6 · pith_short_16: 3NBFD4W62SP656OD · pith_short_8: 3NBFD4W6

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/3NBFD4W62SP656ODJ3VRDZHGZD \
  | 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: db4251f2ded49feef9c34eeb11e4e6c8c51ba738dc89de887cc1f62fa22451ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f544b447c1454246481a6ecdac4115915b7f04d4c85094c12c57fad3f559183",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2006-10-09T14:07:10Z",
    "title_canon_sha256": "e87c3319d6eecea8d3beff8200a1131f6a85c80a7bb91a8292ba6e524c7870ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610289",
    "kind": "arxiv",
    "version": 1
  }
}