Pith Number

pith:XB5AN4FP

pith:2014:XB5AN4FPFH3EZBU735GFJXJCMB

not attested not anchored not stored refs pending

On thickness and thinness of Banach spaces

Johann Langemets, Olav Nygaard, Trond A. Abrahamsen, Vegard Lima

arxiv:1402.0996 v3 · 2014-02-05 · 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{XB5AN4FPFH3EZBU735GFJXJCMB}

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	2026-05-18T02:51:00.970743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b87a06f0af29f64c869fdf4c54dd226060dd5d4a511e1af2914c1a5e2d75998d

Aliases

arxiv: 1402.0996 · arxiv_version: 1402.0996v3 · doi: 10.48550/arxiv.1402.0996 · pith_short_12: XB5AN4FPFH3E · pith_short_16: XB5AN4FPFH3EZBU7 · pith_short_8: XB5AN4FP

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/XB5AN4FPFH3EZBU735GFJXJCMB \
  | 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: b87a06f0af29f64c869fdf4c54dd226060dd5d4a511e1af2914c1a5e2d75998d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c17f6f7ecdbdb8f84a8cdc61e4a39d9790cb40bd87c7282aa833b0d493a13185",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-02-05T10:16:39Z",
    "title_canon_sha256": "ee9aff255b5ef5a3aa636bbc4e5d803ba1a3579c35ebe5cb0ec1830f168045f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0996",
    "kind": "arxiv",
    "version": 3
  }
}