Pith Number

pith:P65UOIGF

pith:2012:P65UOIGFBKIBURDS6THDUPALJ2

not attested not anchored not stored refs pending

Free Banach spaces and the approximation properties

Gilles Godefroy, Narutaka Ozawa

arxiv:1201.0847 v2 · 2012-01-04 · 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{P65UOIGFBKIBURDS6THDUPALJ2}

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	2026-05-18T03:51:14.283990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fbb4720c50a901a4472f4ce3a3c0b4e85e177a2317e3f034009b2f4b7476af8

Aliases

arxiv: 1201.0847 · arxiv_version: 1201.0847v2 · doi: 10.48550/arxiv.1201.0847 · pith_short_12: P65UOIGFBKIB · pith_short_16: P65UOIGFBKIBURDS · pith_short_8: P65UOIGF

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/P65UOIGFBKIBURDS6THDUPALJ2 \
  | 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: 7fbb4720c50a901a4472f4ce3a3c0b4e85e177a2317e3f034009b2f4b7476af8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f4fbf92485c5f4d3ea37c70dfb7b0e530e7f851f99792b2f616788279aa5827",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-01-04T08:54:45Z",
    "title_canon_sha256": "7edb482e58ea55eefda25045d07059e643ef7de61f3e615b5b66f7c84eab7dc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0847",
    "kind": "arxiv",
    "version": 2
  }
}