Pith Number

pith:3O534SUH

pith:2010:3O534SUHBCEE3TJX4AZM2UEYRI

not attested not anchored not stored refs pending

A Separation Principle on Lie Groups

Erwan Salaun, Philippe Martin, Pierre Rouchon, Silvere Bonnabel

arxiv:1010.6007 v1 · 2010-10-28 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3O534SUHBCEE3TJX4AZM2UEYRI}

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	2026-05-18T04:38:14.769572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbbbbe4a8708884dcd37e032cd50988a2e7f79ac370b564f08bc6b19adbd7905

Aliases

arxiv: 1010.6007 · arxiv_version: 1010.6007v1 · doi: 10.48550/arxiv.1010.6007 · pith_short_12: 3O534SUHBCEE · pith_short_16: 3O534SUHBCEE3TJX · pith_short_8: 3O534SUH

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/3O534SUHBCEE3TJX4AZM2UEYRI \
  | 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: dbbbbe4a8708884dcd37e032cd50988a2e7f79ac370b564f08bc6b19adbd7905

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab59ba61d4a58f039c4208d2cd16fa9f93fe85422a411d479bb9d9725a845958",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-10-28T16:27:36Z",
    "title_canon_sha256": "fbf10764a8d6f3816663c44412a049cfa04a8d3a6f690ab81cc8c136795f112d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6007",
    "kind": "arxiv",
    "version": 1
  }
}