Pith Number

pith:LS7MTGY6

pith:2018:LS7MTGY6PJNR5A2GO6TIV6UIO6

not attested not anchored not stored refs pending

Subgradients of Marginal Functions in Parametric Control Problems of Partial Differential Equations

Daniel Wachsmuth, Nguyen Thanh Qui

arxiv:1807.05831 v1 · 2018-07-16 · 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{LS7MTGY6PJNR5A2GO6TIV6UIO6}

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	2026-05-18T00:10:42.456631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cbec99b1e7a5b1e834677a68afa8877bf740e90ede6b1b46315b305b74e05fc

Aliases

arxiv: 1807.05831 · arxiv_version: 1807.05831v1 · doi: 10.48550/arxiv.1807.05831 · pith_short_12: LS7MTGY6PJNR · pith_short_16: LS7MTGY6PJNR5A2G · pith_short_8: LS7MTGY6

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/LS7MTGY6PJNR5A2GO6TIV6UIO6 \
  | 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: 5cbec99b1e7a5b1e834677a68afa8877bf740e90ede6b1b46315b305b74e05fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8717dc98aa73405ff06c1793a9d1d64ce5f6c974246cb399c27ae656003c37e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-07-16T12:59:21Z",
    "title_canon_sha256": "7552ef4f9f610cb5607f1db0be916bfc5a120025e5703ef7f95608df086a6a2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05831",
    "kind": "arxiv",
    "version": 1
  }
}