Pith Number

pith:US7WJYBO

pith:2017:US7WJYBOVTJWPKYQULQSZ7YNBY

not attested not anchored not stored refs pending

Invariant submanifolds for affine control systems

Chong-Kyu Han, Hyeseon Kim

arxiv:1801.00072 v2 · 2017-12-30 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{US7WJYBOVTJWPKYQULQSZ7YNBY}

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	2026-05-17T23:50:02.712807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4bf64e02eacd367ab10a2e12cff0d0e01aefee3f02ba9d8c3c9acb80399e671

Aliases

arxiv: 1801.00072 · arxiv_version: 1801.00072v2 · doi: 10.48550/arxiv.1801.00072 · pith_short_12: US7WJYBOVTJW · pith_short_16: US7WJYBOVTJWPKYQ · pith_short_8: US7WJYBO

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/US7WJYBOVTJWPKYQULQSZ7YNBY \
  | 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: a4bf64e02eacd367ab10a2e12cff0d0e01aefee3f02ba9d8c3c9acb80399e671

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83c7569e5ee504d38d7a65c995c3eb2cf89499e74d7e2b8a585cc98e50a2d8fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-12-30T02:13:48Z",
    "title_canon_sha256": "0843e452da7ebf6503a20ae6d4da0198da2470cf35cc9f2d4c4e1face0d8b41c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00072",
    "kind": "arxiv",
    "version": 2
  }
}