Pith Number

pith:IXM6YJDD

pith:2019:IXM6YJDD7OXV5ZCZMRFCRNVNPK

not attested not anchored not stored refs pending

On nilpotent generators of the symplectic Lie algebra

Alisa Chistopolskaya

arxiv:1908.04065 v1 · 2019-08-12 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IXM6YJDD7OXV5ZCZMRFCRNVNPK}

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	2026-07-04T23:53:20.335045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45d9ec2463fbaf5ee459644a28b6ad7a89487fe16991a87a5765a25f4aa76721

Aliases

arxiv: 1908.04065 · arxiv_version: 1908.04065v1 · doi: 10.48550/arxiv.1908.04065 · pith_short_12: IXM6YJDD7OXV · pith_short_16: IXM6YJDD7OXV5ZCZ · pith_short_8: IXM6YJDD

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/IXM6YJDD7OXV5ZCZMRFCRNVNPK \
  | 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: 45d9ec2463fbaf5ee459644a28b6ad7a89487fe16991a87a5765a25f4aa76721

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "252bdd403671b05bf2a44fb6d942847f05de56c37eb54afe84959a1084cf2f6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-08-12T09:27:13Z",
    "title_canon_sha256": "f6c35c0f27efa143c37b6eccabb93f2211df2529b351e242961b1367ac3c73cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04065",
    "kind": "arxiv",
    "version": 1
  }
}