Pith Number

pith:DZNRXLLJ

pith:2014:DZNRXLLJGOCAA77TJXIIPOZ3QR

not attested not anchored not stored refs pending

Attainable subspaces and the bang-bang property of time optimal controls for heat equations

Gengsheng Wang, Yashan Xu, Yubiao Zhang

arxiv:1404.5096 v1 · 2014-04-21 · 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{DZNRXLLJGOCAA77TJXIIPOZ3QR}

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	2026-05-18T02:53:51.973617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e5b1bad693384007ff34dd087bb3b8447a09ad74557076198e4747dcb11a2a3

Aliases

arxiv: 1404.5096 · arxiv_version: 1404.5096v1 · doi: 10.48550/arxiv.1404.5096 · pith_short_12: DZNRXLLJGOCA · pith_short_16: DZNRXLLJGOCAA77T · pith_short_8: DZNRXLLJ

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/DZNRXLLJGOCAA77TJXIIPOZ3QR \
  | 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: 1e5b1bad693384007ff34dd087bb3b8447a09ad74557076198e4747dcb11a2a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c1f0f6871c9b3de9265de7cfb0d725e1cce99cfbde550247e051adac193a613",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-04-21T02:32:02Z",
    "title_canon_sha256": "2dc199e5d87085c12cbc98570034627661d1a814c38a714d629185a437e4b214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5096",
    "kind": "arxiv",
    "version": 1
  }
}