Pith Number

pith:5X3H4W3U

pith:2015:5X3H4W3UOKAD4DVGK4RMTIRLZR

not attested not anchored not stored refs pending

Controllability of Linear Systems on Generalized Heisenberg Groups

Mouhamadou Dath (LMRS), Philippe Jouan (LMRS)

arxiv:1510.04224 v1 · 2015-10-14 · 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{5X3H4W3UOKAD4DVGK4RMTIRLZR}

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	2026-05-18T01:30:08.867736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edf67e5b7472803e0ea65722c9a22bcc7b6b319d6e927221697101c5991841fb

Aliases

arxiv: 1510.04224 · arxiv_version: 1510.04224v1 · doi: 10.48550/arxiv.1510.04224 · pith_short_12: 5X3H4W3UOKAD · pith_short_16: 5X3H4W3UOKAD4DVG · pith_short_8: 5X3H4W3U

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/5X3H4W3UOKAD4DVGK4RMTIRLZR \
  | 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: edf67e5b7472803e0ea65722c9a22bcc7b6b319d6e927221697101c5991841fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcb46ab29287496f3472ed72a4fdf93e31eb9279fdcf1ccbe426e2f9b517b5e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-10-14T18:19:44Z",
    "title_canon_sha256": "f5f974eacae593a97954406772452a541d80131a1a16c8c2c5727f432645c925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04224",
    "kind": "arxiv",
    "version": 1
  }
}