Pith Number

pith:7LNYETOA

pith:2017:7LNYETOA3SXZH3NKHKYZI5B7U6

not attested not anchored not stored refs pending

Optimal control of nonlinear elliptic problems with sparsity

Augusto C. Ponce, Nicolas Wilmet

arxiv:1712.06159 v1 · 2017-12-17 · math.AP · 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{7LNYETOA3SXZH3NKHKYZI5B7U6}

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	2026-05-18T00:10:22.208537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fadb824dc0dcaf93edaa3ab194743fa780809df55f302fa5ec1a9cb3fe734d5c

Aliases

arxiv: 1712.06159 · arxiv_version: 1712.06159v1 · doi: 10.48550/arxiv.1712.06159 · pith_short_12: 7LNYETOA3SXZ · pith_short_16: 7LNYETOA3SXZH3NK · pith_short_8: 7LNYETOA

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/7LNYETOA3SXZH3NKHKYZI5B7U6 \
  | 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: fadb824dc0dcaf93edaa3ab194743fa780809df55f302fa5ec1a9cb3fe734d5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8318e04369ae7fb18fbcb02e40d38f78737a92c24c3da4d2ea6c162a717e0d90",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-17T19:17:02Z",
    "title_canon_sha256": "7204b52eb28a469d61b5062b10d745374120d455d35abcdb004ecbfbfbdb9a5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06159",
    "kind": "arxiv",
    "version": 1
  }
}