Pith Number

pith:TZYELWQ2

pith:2019:TZYELWQ2K6JZSW6V5TGFJLJK2Z

not attested not anchored not stored refs pending

On left $\phi$-biprojectivity and left $\phi$-biflatness of certain Banach algebras

Amir Sahami

arxiv:1905.05552 v1 · 2019-05-14 · 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{TZYELWQ2K6JZSW6V5TGFJLJK2Z}

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	2026-05-17T23:46:14.244943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e7045da1a5793995bd5eccc54ad2ad6502c85a69f06e004eff25eb6e7997251

Aliases

arxiv: 1905.05552 · arxiv_version: 1905.05552v1 · doi: 10.48550/arxiv.1905.05552 · pith_short_12: TZYELWQ2K6JZ · pith_short_16: TZYELWQ2K6JZSW6V · pith_short_8: TZYELWQ2

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/TZYELWQ2K6JZSW6V5TGFJLJK2Z \
  | 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: 9e7045da1a5793995bd5eccc54ad2ad6502c85a69f06e004eff25eb6e7997251

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "484e3941cade7095d866175dbcbd8b16a85ced72ad085a25803147330482eb65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-05-14T12:31:05Z",
    "title_canon_sha256": "97b18ed3ab94ad0c09259852b35f8ac8f42f9eb0fcf124d860b75c3c61406c9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05552",
    "kind": "arxiv",
    "version": 1
  }
}