Pith Number

pith:FZIWWNXK

pith:2008:FZIWWNXKKNVJOZFA67HVVGAM2W

not attested not anchored not stored refs pending

On Splitting Types, Discriminant Bounds, and Conclusive Tests for the Galois Group

Fusun Akman

arxiv:0804.4876 v3 · 2008-04-30 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZIWWNXKKNVJOZFA67HVVGAM2W}

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	2026-05-18T00:11:24.211558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e516b36ea536a9764a0f7cf5a980cd5bbcea929799ee04b3e3b44d02fabcef6

Aliases

arxiv: 0804.4876 · arxiv_version: 0804.4876v3 · doi: 10.48550/arxiv.0804.4876 · pith_short_12: FZIWWNXKKNVJ · pith_short_16: FZIWWNXKKNVJOZFA · pith_short_8: FZIWWNXK

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/FZIWWNXKKNVJOZFA67HVVGAM2W \
  | 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: 2e516b36ea536a9764a0f7cf5a980cd5bbcea929799ee04b3e3b44d02fabcef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbc6666b55d8b512dfeed83005228c4b2fc3fa52d381a445d08d5bccad20f578",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-04-30T17:44:55Z",
    "title_canon_sha256": "44243cd38a431d241e85d94e00c3c4afeeb23d3e843b7ee520237f66ada39fd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.4876",
    "kind": "arxiv",
    "version": 3
  }
}