Pith Number

pith:GC6XR6SQ

pith:2011:GC6XR6SQPO346WSXBQWBNKUKVY

not attested not anchored not stored refs pending

Characterising subspaces of Banach spaces with a Schauder basis having the shift property

Christian Rosendal

arxiv:1106.0472 v1 · 2011-06-02 · 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{GC6XR6SQPO346WSXBQWBNKUKVY}

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	2026-05-18T04:20:50.263710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30bd78fa507bb7cf5a570c2c16aa8aae1afc1012b8b6457359bbf4dda9dfab2b

Aliases

arxiv: 1106.0472 · arxiv_version: 1106.0472v1 · doi: 10.48550/arxiv.1106.0472 · pith_short_12: GC6XR6SQPO34 · pith_short_16: GC6XR6SQPO346WSX · pith_short_8: GC6XR6SQ

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/GC6XR6SQPO346WSXBQWBNKUKVY \
  | 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: 30bd78fa507bb7cf5a570c2c16aa8aae1afc1012b8b6457359bbf4dda9dfab2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27814b52c2bb2f1b073a353db03dfc27f1a181edfe7cc911988a6143bf965f52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-06-02T17:02:06Z",
    "title_canon_sha256": "97e48bae9895a04607b4fd4a0993470298c926d72858f879fcd9bd0ac6665ef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0472",
    "kind": "arxiv",
    "version": 1
  }
}