Pith Number

pith:ZESPWD5Q

pith:2018:ZESPWD5QRH4FDVHBPDRAWQZAN3

not attested not anchored not stored refs pending

A priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Time-Optimal Control Problems

Boris Vexler, Konstantin Pieper, Lucas Bonifacius

arxiv:1802.00611 v2 · 2018-02-02 · 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{ZESPWD5QRH4FDVHBPDRAWQZAN3}

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	2026-05-18T00:05:50.975637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c924fb0fb089f851d4e178e20b43206eea0425ae24597ff5ef23e2d7c737a7ac

Aliases

arxiv: 1802.00611 · arxiv_version: 1802.00611v2 · doi: 10.48550/arxiv.1802.00611 · pith_short_12: ZESPWD5QRH4F · pith_short_16: ZESPWD5QRH4FDVHB · pith_short_8: ZESPWD5Q

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/ZESPWD5QRH4FDVHBPDRAWQZAN3 \
  | 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: c924fb0fb089f851d4e178e20b43206eea0425ae24597ff5ef23e2d7c737a7ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee8ded8dcb76910ddf5380f21dd12319ea753fae4bbe5e5f2ea50fc88484c81a",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-02-02T09:32:29Z",
    "title_canon_sha256": "cf55a643bc3e43cade995551878d7caa5afa21231aca1d0c8c344f9fb52006ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00611",
    "kind": "arxiv",
    "version": 2
  }
}