Pith Number

pith:GBVL3NAE

pith:2017:GBVL3NAEZ3HO2HKMKU3UA3TL5P

not attested not anchored not stored refs pending

Stability for Bang-Bang Control Problems of Partial Differential Equations

Daniel Wachsmuth, Nguyen Thanh Qui

arxiv:1707.03698 v1 · 2017-07-12 · 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{GBVL3NAEZ3HO2HKMKU3UA3TL5P}

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	2026-05-18T00:40:25.232937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

306abdb404ceceed1d4c5537406e6bebdca701564f7c5448911bccd9318f3bdb

Aliases

arxiv: 1707.03698 · arxiv_version: 1707.03698v1 · doi: 10.48550/arxiv.1707.03698 · pith_short_12: GBVL3NAEZ3HO · pith_short_16: GBVL3NAEZ3HO2HKM · pith_short_8: GBVL3NAE

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/GBVL3NAEZ3HO2HKMKU3UA3TL5P \
  | 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: 306abdb404ceceed1d4c5537406e6bebdca701564f7c5448911bccd9318f3bdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b233658705e8207b0bf92c506bcaa4a4be8ae32bd1178c09cba029ff5cdf0de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-07-12T13:14:17Z",
    "title_canon_sha256": "5875d2e36d6fda147781ee974a253a48960511bcb8796c2aa859fd78a90b931c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03698",
    "kind": "arxiv",
    "version": 1
  }
}