Pith Number

pith:TQXQHZIC

pith:2019:TQXQHZICBJWJI23YNKLXWPLPVI

not attested not anchored not stored refs pending

Optimal finite element error estimates for an optimal control problem governed by the wave equation with controls of bounded variation

Boris Vexler, Philip Trautmann, Sebastian Engel

arxiv:1907.11197 v1 · 2019-07-25 · math.OC · cs.NA · 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{TQXQHZICBJWJI23YNKLXWPLPVI}

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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	2026-05-17T23:39:32.980938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c2f03e5020a6c946b786a977b3d6faa3b896c51f64a55c679736524c3bed68b

Aliases

arxiv: 1907.11197 · arxiv_version: 1907.11197v1 · doi: 10.48550/arxiv.1907.11197 · pith_short_12: TQXQHZICBJWJ · pith_short_16: TQXQHZICBJWJI23Y · pith_short_8: TQXQHZIC

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/TQXQHZICBJWJI23YNKLXWPLPVI \
  | 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: 9c2f03e5020a6c946b786a977b3d6faa3b896c51f64a55c679736524c3bed68b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39da05c016072aa317977914a83a35e4395821ea798d90c7fb9df48530c54fb2",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-07-25T17:00:14Z",
    "title_canon_sha256": "b67b65443fe3de7275b8268f1f10530875400182d80b9df14ac9af9e1d4f9866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11197",
    "kind": "arxiv",
    "version": 1
  }
}