Pith Number

pith:4AUUCOP7

pith:2011:4AUUCOP7NPQ2C3MZMJS4SD4KRN

not attested not anchored not stored refs pending

A weak* separable C(K)* space whose unit ball is not weak* separable

Antonio Avil\'es, Grzegorz Plebanek, Jos\'e Rodr\'iguez

arxiv:1112.5710 v1 · 2011-12-24 · math.FA · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AUUCOP7NPQ2C3MZMJS4SD4KRN}

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	2026-05-18T02:48:55.169124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0294139ff6be1a16d996265c90f8a8b5fd085aa58fd19eab223091f7ac31042

Aliases

arxiv: 1112.5710 · arxiv_version: 1112.5710v1 · doi: 10.48550/arxiv.1112.5710 · pith_short_12: 4AUUCOP7NPQ2 · pith_short_16: 4AUUCOP7NPQ2C3MZ · pith_short_8: 4AUUCOP7

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/4AUUCOP7NPQ2C3MZMJS4SD4KRN \
  | 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: e0294139ff6be1a16d996265c90f8a8b5fd085aa58fd19eab223091f7ac31042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebe0c6830f5b197eff07a6bc4a6dc112db36c6f3c149f0488b0a403321e09413",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-24T09:38:46Z",
    "title_canon_sha256": "c13626c62ddc9c244fadeb6b50e2e52618c2232a19e46e9667e2cb3240a2d0fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5710",
    "kind": "arxiv",
    "version": 1
  }
}