Pith Number

pith:UMWOPKDA

pith:2018:UMWOPKDA7SMP62UPPDIBAT2QEP

not attested not anchored not stored refs pending

A penalty scheme for monotone systems with interconnected obstacles: convergence and error estimates

Christoph Reisinger, Yufei Zhang

arxiv:1808.04747 v2 · 2018-08-14 · math.NA · cs.NA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMWOPKDA7SMP62UPPDIBAT2QEP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:41:31.118761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a32ce7a860fc98ff6a8f78d0104f5023de8f320dce64dbef756eca218f4e048c

Aliases

arxiv: 1808.04747 · arxiv_version: 1808.04747v2 · doi: 10.48550/arxiv.1808.04747 · pith_short_12: UMWOPKDA7SMP · pith_short_16: UMWOPKDA7SMP62UP · pith_short_8: UMWOPKDA

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/UMWOPKDA7SMP62UPPDIBAT2QEP \
  | 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: a32ce7a860fc98ff6a8f78d0104f5023de8f320dce64dbef756eca218f4e048c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eb7d64dfd1744bbc5b4474f82cac60f341f2517a74c938db7973b6389a3b3ab",
    "cross_cats_sorted": [
      "cs.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-08-14T15:25:20Z",
    "title_canon_sha256": "f4e00f89d1e40f52f83618c6163b660d602a03ae2e4c0e120a9e9a8400b3d85c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04747",
    "kind": "arxiv",
    "version": 2
  }
}