Pith Number

pith:MPDWGYOQ

pith:2011:MPDWGYOQC4VPOI6T3YEJQYSI72

not attested not anchored not stored refs pending

A Banach Algebraic Version Of The Fundamental Theorem of Algebra

Ali Taghavi

arxiv:1104.4196 v1 · 2011-04-21 · 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{MPDWGYOQC4VPOI6T3YEJQYSI72}

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	2026-05-18T04:23:44.883228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c76361d0172af723d3de08986248fe9f2d0c21546f11f52a5b9c51114b53c7

Aliases

arxiv: 1104.4196 · arxiv_version: 1104.4196v1 · doi: 10.48550/arxiv.1104.4196 · pith_short_12: MPDWGYOQC4VP · pith_short_16: MPDWGYOQC4VPOI6T · pith_short_8: MPDWGYOQ

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/MPDWGYOQC4VPOI6T3YEJQYSI72 \
  | 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: 63c76361d0172af723d3de08986248fe9f2d0c21546f11f52a5b9c51114b53c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cab87c8514af7e4e7f57ec8ad09d6b78c51938cf6edc10961c45f2b4f4f31c4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-21T07:45:31Z",
    "title_canon_sha256": "0a8b6671fd2fd6b9b348f6f7206bce9c5d8cefea0f1f7b3ce3e1a1418dfa4486"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4196",
    "kind": "arxiv",
    "version": 1
  }
}