Pith Number

pith:4GSPUTUF

pith:2015:4GSPUTUF4BHFAU6YZCVVDFY7OL

not attested not anchored not stored refs pending

A Purely Algebraic Proof of the Fundamental Theorem of Algebra

Piotr B{\l}aszczyk

arxiv:1504.05609 v1 · 2015-04-21 · math.HO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GSPUTUF4BHFAU6YZCVVDFY7OL}

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	2026-05-18T02:18:13.163571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1a4fa4e85e04e5053d8c8ab51971f72f56f3e37d95dee7b0be9443df36211b0

Aliases

arxiv: 1504.05609 · arxiv_version: 1504.05609v1 · doi: 10.48550/arxiv.1504.05609 · pith_short_12: 4GSPUTUF4BHF · pith_short_16: 4GSPUTUF4BHFAU6Y · pith_short_8: 4GSPUTUF

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/4GSPUTUF4BHFAU6YZCVVDFY7OL \
  | 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: e1a4fa4e85e04e5053d8c8ab51971f72f56f3e37d95dee7b0be9443df36211b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "313d110d2fc5d943c1adc0fb67ba4f3da4a83c2c20d009edb5f0988dc69140ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2015-04-21T20:56:08Z",
    "title_canon_sha256": "1bb69a9170bfd80d35dfd98b3a34335127d3ba037b0110428f62a66415a20761"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05609",
    "kind": "arxiv",
    "version": 1
  }
}