Pith Number

pith:GNVO6CZU

pith:2012:GNVO6CZUJFZPWZQZIRB4O6RBPG

not attested not anchored not stored refs pending

On the existence of nilsolitons on 2-step nilpotent Lie groups

David Oscari

arxiv:1204.3031 v1 · 2012-04-13 · math.DG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNVO6CZUJFZPWZQZIRB4O6RBPG}

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	2026-05-18T03:57:54.102910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

336aef0b344972fb66194443c77a217983a8bd32bb2ef670ece4c458752fc195

Aliases

arxiv: 1204.3031 · arxiv_version: 1204.3031v1 · doi: 10.48550/arxiv.1204.3031 · pith_short_12: GNVO6CZUJFZP · pith_short_16: GNVO6CZUJFZPWZQZ · pith_short_8: GNVO6CZU

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/GNVO6CZUJFZPWZQZIRB4O6RBPG \
  | 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: 336aef0b344972fb66194443c77a217983a8bd32bb2ef670ece4c458752fc195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df67e727b958d143b1c83383d15ef00cf6b03b8143db6c714c61dfe6bc9e22ec",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-13T15:50:49Z",
    "title_canon_sha256": "cb59b358f702ad55562d714aa66b14294d8758d963ff519b4e7aa744ccfd1564"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3031",
    "kind": "arxiv",
    "version": 1
  }
}