Pith Number

pith:3LFZ2RGB

pith:2014:3LFZ2RGBVDKLPXOD7UO6DJQS7E

not attested not anchored not stored refs pending

Approximate biprojectivity and $\phi$-biflatness of certain Banach algebras

A. Pourabbas, A. Sahami

arxiv:1409.7503 v3 · 2014-09-26 · 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{3LFZ2RGBVDKLPXOD7UO6DJQS7E}

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	2026-05-18T02:27:58.520017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dacb9d44c1a8d4b7ddc3fd1de1a612f9070a3cbaae96989842b3fccf376b2202

Aliases

arxiv: 1409.7503 · arxiv_version: 1409.7503v3 · doi: 10.48550/arxiv.1409.7503 · pith_short_12: 3LFZ2RGBVDKL · pith_short_16: 3LFZ2RGBVDKLPXOD · pith_short_8: 3LFZ2RGB

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/3LFZ2RGBVDKLPXOD7UO6DJQS7E \
  | 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: dacb9d44c1a8d4b7ddc3fd1de1a612f9070a3cbaae96989842b3fccf376b2202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a31f9e5dc65752df90fa39efb4191c71902bf7326ffaa47ff91ec5dffffea95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-09-26T09:09:07Z",
    "title_canon_sha256": "0ccdc690b5736e33073ee52494c4dda141ba08d88173fc1caf84f79b072778b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7503",
    "kind": "arxiv",
    "version": 3
  }
}