Pith Number

pith:GPQ2T7FW

pith:2018:GPQ2T7FWFL2LS3MNLT3EA5YAPM

not attested not anchored not stored refs pending

Johnson pseudo-contractibility and pseudo-amenability of $ \theta $-Lau product of Banach algebras

A. Pourabbas, A. Sahami, M. Askari-Sayah

arxiv:1801.02208 v1 · 2018-01-07 · 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{GPQ2T7FWFL2LS3MNLT3EA5YAPM}

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	2026-05-18T00:26:34.554414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33e1a9fcb62af4b96d8d5cf64077007b10464133d22003f6d88a3ecce3cff560

Aliases

arxiv: 1801.02208 · arxiv_version: 1801.02208v1 · doi: 10.48550/arxiv.1801.02208 · pith_short_12: GPQ2T7FWFL2L · pith_short_16: GPQ2T7FWFL2LS3MN · pith_short_8: GPQ2T7FW

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/GPQ2T7FWFL2LS3MNLT3EA5YAPM \
  | 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: 33e1a9fcb62af4b96d8d5cf64077007b10464133d22003f6d88a3ecce3cff560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33885698c521b03546aeea4b462bd303aac869e0489c7be7be0b2c60f3a65d4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-07T16:30:50Z",
    "title_canon_sha256": "7e5de8ef79a1eb38ee06796a21e2b4928759fd12cab2ed9b64a61130991df314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02208",
    "kind": "arxiv",
    "version": 1
  }
}