Pith Number

pith:TF4M7YLA

pith:2013:TF4M7YLATX3563XWSLHRQWIJZ3

not attested not anchored not stored refs pending

Large Galois groups with applications to Zariski density

Igor Rivin

arxiv:1312.3009 v4 · 2013-12-11 · math.NT · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TF4M7YLATX3563XWSLHRQWIJZ3}

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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.

Cited by

1 paper in Pith

Algorithms for experimenting with Zariski dense matrix groups over number fields

Receipt and verification

First computed	2026-05-18T02:29:55.157564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9978cfe1609df7df6ef692cf185909cec1fd88e8682cf6f7e54171fc67b04c39

Aliases

arxiv: 1312.3009 · arxiv_version: 1312.3009v4 · doi: 10.48550/arxiv.1312.3009 · pith_short_12: TF4M7YLATX35 · pith_short_16: TF4M7YLATX3563XW · pith_short_8: TF4M7YLA

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/TF4M7YLATX3563XWSLHRQWIJZ3 \
  | 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: 9978cfe1609df7df6ef692cf185909cec1fd88e8682cf6f7e54171fc67b04c39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf7393ef16ca0da64829a64a66c23b0e8048618244ab8a9c478dbc6411e6cb46",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-11T00:35:56Z",
    "title_canon_sha256": "05db9eba7750a6a194ad23fa65894b69cd8348d02cbec423f3abb8ac7c09404a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3009",
    "kind": "arxiv",
    "version": 4
  }
}