Pith Number

pith:4Q6TCIGW

pith:2018:4Q6TCIGWZT4XWDAOLXCM7HUFZY

not attested not anchored not stored refs pending

Optimal control problem for systems of conservation laws, with geometric parameter, and application to the Shallow-Water Equations

Karl Kunisch, Laurent Pfeiffer, S\'ebastien Court

arxiv:1801.07205 v1 · 2018-01-22 · 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{4Q6TCIGWZT4XWDAOLXCM7HUFZY}

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	2026-05-18T00:25:21.942431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e43d3120d6ccf97b0c0e5dc4cf9e85ce0bf7a17ea369a10906ec1185dcb8c115

Aliases

arxiv: 1801.07205 · arxiv_version: 1801.07205v1 · doi: 10.48550/arxiv.1801.07205 · pith_short_12: 4Q6TCIGWZT4X · pith_short_16: 4Q6TCIGWZT4XWDAO · pith_short_8: 4Q6TCIGW

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/4Q6TCIGWZT4XWDAOLXCM7HUFZY \
  | 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: e43d3120d6ccf97b0c0e5dc4cf9e85ce0bf7a17ea369a10906ec1185dcb8c115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fae21bc306b70c14b3524ecee049cd507feb63266dbcd0dbeb306c433adfa087",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-01-22T17:18:06Z",
    "title_canon_sha256": "41289ff6059a8f69a01358bb5828f5563bcda46bf5a6e47f3deef616c7c38cdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07205",
    "kind": "arxiv",
    "version": 1
  }
}