Pith Number

pith:MFZVUXCA

pith:2016:MFZVUXCASJ2Q3DWJEH6YAZMS2W

not attested not anchored not stored refs pending

On approximately left phi-biprojective Banach algebras

Amir Sahami

arxiv:1606.08338 v2 · 2016-06-27 · 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{MFZVUXCASJ2Q3DWJEH6YAZMS2W}

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	2026-05-18T01:07:53.559723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61735a5c4092750d8ec921fd806592d58f358de9f36ae59a98d8f8bcc5dcd7a8

Aliases

arxiv: 1606.08338 · arxiv_version: 1606.08338v2 · doi: 10.48550/arxiv.1606.08338 · pith_short_12: MFZVUXCASJ2Q · pith_short_16: MFZVUXCASJ2Q3DWJ · pith_short_8: MFZVUXCA

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/MFZVUXCASJ2Q3DWJEH6YAZMS2W \
  | 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: 61735a5c4092750d8ec921fd806592d58f358de9f36ae59a98d8f8bcc5dcd7a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "884697eeadbe13c2ec34d5902d2ab15e53e1f033dadcc3d681f547fd4fd8fb33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-06-27T16:05:30Z",
    "title_canon_sha256": "866e67d513ddee57db3ef72f4feb9678c0b0a77303d40ab4129dc0fc9809cee5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08338",
    "kind": "arxiv",
    "version": 2
  }
}