Pith Number

pith:GRLLGSRH

pith:2016:GRLLGSRHPWP4JK4ENGQPDIRSWA

not attested not anchored not stored refs pending

Galois groups of iterates of some unicritical polynomials

Michael R. Bush, Nicole R. Looper, Wade Hindes

arxiv:1608.03328 v1 · 2016-08-11 · 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{GRLLGSRHPWP4JK4ENGQPDIRSWA}

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	2026-05-18T01:09:29.139760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3456b34a277d9fc4ab8469a0f1a232b026e5010f6226f535cb26bf1f27d7873b

Aliases

arxiv: 1608.03328 · arxiv_version: 1608.03328v1 · doi: 10.48550/arxiv.1608.03328 · pith_short_12: GRLLGSRHPWP4 · pith_short_16: GRLLGSRHPWP4JK4E · pith_short_8: GRLLGSRH

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/GRLLGSRHPWP4JK4ENGQPDIRSWA \
  | 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: 3456b34a277d9fc4ab8469a0f1a232b026e5010f6226f535cb26bf1f27d7873b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da617950c317652bf52903021a0f37adf01213dae9c119c90c8dbe89417d4aa4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-11T00:33:10Z",
    "title_canon_sha256": "d7d167cf22772920d4a84db313d728f34ff8ee238d71b14f6a6cec56e96ef57a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03328",
    "kind": "arxiv",
    "version": 1
  }
}