Pith Number

pith:6QQ43E3P

pith:2015:6QQ43E3PUDTIWYOIF2242SFF55

not attested not anchored not stored refs pending

Closed ideals of operators on and complemented subspaces of Banach spaces of functions with countable support

Gideon Schechtman, Tomasz Kania, William B. Johnson

arxiv:1502.03026 v2 · 2015-02-10 · 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{6QQ43E3PUDTIWYOIF2242SFF55}

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	2026-05-18T01:01:29.348424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f421cd936fa0e68b61c82eb5cd48a5ef515a011d74a50f42855871cf138a91a0

Aliases

arxiv: 1502.03026 · arxiv_version: 1502.03026v2 · doi: 10.48550/arxiv.1502.03026 · pith_short_12: 6QQ43E3PUDTI · pith_short_16: 6QQ43E3PUDTIWYOI · pith_short_8: 6QQ43E3P

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/6QQ43E3PUDTIWYOIF2242SFF55 \
  | 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: f421cd936fa0e68b61c82eb5cd48a5ef515a011d74a50f42855871cf138a91a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c12752925bb0d68d2778d884bb9d07e505ac9d6a6e8c204b162e183062052c85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-02-10T18:17:14Z",
    "title_canon_sha256": "ac60b0a271115e668e8ee25ae3395010aa83db94af34f7058456b46f2140c4c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03026",
    "kind": "arxiv",
    "version": 2
  }
}