Pith Number

pith:X66NEXYA

pith:2019:X66NEXYAWWCZ45QGMY5Y6NYZAT

not attested not anchored not stored refs pending

Optimal control of an energy-critical semilinear wave equation in 3D with spatially integrated control constraints

Hannes Meinlschmidt, Karl Kunisch

arxiv:1907.02744 v1 · 2019-07-05 · 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{X66NEXYAWWCZ45QGMY5Y6NYZAT}

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	2026-05-17T23:41:23.305978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfbcd25f00b5859e7606663b8f371904dd59bc8bb8908c37f1dbf380d57a24f7

Aliases

arxiv: 1907.02744 · arxiv_version: 1907.02744v1 · doi: 10.48550/arxiv.1907.02744 · pith_short_12: X66NEXYAWWCZ · pith_short_16: X66NEXYAWWCZ45QG · pith_short_8: X66NEXYA

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/X66NEXYAWWCZ45QGMY5Y6NYZAT \
  | 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: bfbcd25f00b5859e7606663b8f371904dd59bc8bb8908c37f1dbf380d57a24f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fee4404e6189d01886520523f9a2baf971e76e2eccc3a9bd32e1057d1d0714d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-07-05T09:45:47Z",
    "title_canon_sha256": "f9ef7b4c9a0fa33f5e458ae46296324b7d18491eb6cada160a2728fd63d0a7e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02744",
    "kind": "arxiv",
    "version": 1
  }
}