Pith Number

pith:U3B7YEG7

pith:2018:U3B7YEG7KEXRLSFCUFNG6QIA4Z

not attested not anchored not stored refs pending

Error estimates for space-time discretization of parabolic time-optimal control problems with bang-bang controls

Boris Vexler, Konstantin Pieper, Lucas Bonifacius

arxiv:1809.04886 v2 · 2018-09-13 · math.OC · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3B7YEG7KEXRLSFCUFNG6QIA4Z}

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	2026-05-18T00:05:27.550817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6c3fc10df512f15c8a2a15a6f4100e64de3ffce7a10fb9ea9cdbdb7a620c329

Aliases

arxiv: 1809.04886 · arxiv_version: 1809.04886v2 · doi: 10.48550/arxiv.1809.04886 · pith_short_12: U3B7YEG7KEXR · pith_short_16: U3B7YEG7KEXRLSFC · pith_short_8: U3B7YEG7

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/U3B7YEG7KEXRLSFCUFNG6QIA4Z \
  | 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: a6c3fc10df512f15c8a2a15a6f4100e64de3ffce7a10fb9ea9cdbdb7a620c329

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "020fa9ca197ebe871eee09be99fa3c01f7c3e2141315af67a47a903b8959ea89",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-09-13T10:59:48Z",
    "title_canon_sha256": "1652dace7c049228122579dc0b9ab115d6eb4a52bb75b423aca64a973c0d2df5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.04886",
    "kind": "arxiv",
    "version": 2
  }
}