Pith Number

pith:3GQ6VIPI

pith:2019:3GQ6VIPIWIFJSYHLEWURQSPNTU

not attested not anchored not stored refs pending

Invariant translators of the Solvable group

Giuseppe Pipoli

arxiv:1906.08077 v2 · 2019-06-19 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3GQ6VIPIWIFJSYHLEWURQSPNTU}

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	2026-05-17T23:40:23.132206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9a1eaa1e8b20a9960eb25a91849ed9d0b70550f7f825375d712ce9a73c3e254

Aliases

arxiv: 1906.08077 · arxiv_version: 1906.08077v2 · doi: 10.48550/arxiv.1906.08077 · pith_short_12: 3GQ6VIPIWIFJ · pith_short_16: 3GQ6VIPIWIFJSYHL · pith_short_8: 3GQ6VIPI

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/3GQ6VIPIWIFJSYHLEWURQSPNTU \
  | 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: d9a1eaa1e8b20a9960eb25a91849ed9d0b70550f7f825375d712ce9a73c3e254

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6edba3470b8fa593b5a9b11d29f5072ddb362bd5a072a05bca36f0ac9184075",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-06-19T12:55:28Z",
    "title_canon_sha256": "773aa0bc48f115ef8efff3c3b52a01558a774d6d02f44150e0d52f3cbc5c7210"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08077",
    "kind": "arxiv",
    "version": 2
  }
}