Pith Number

pith:QSZVMRET

pith:2019:QSZVMRETLJF6ONCCHGDOSYNOTK

not attested not anchored not stored refs pending

Optimal control theory and advanced optimality conditions for a diffuse interface model of tumor growth

Matthias Ebenbeck, Patrik Knopf

arxiv:1903.00333 v2 · 2019-02-28 · math.OC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QSZVMRETLJF6ONCCHGDOSYNOTK}

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	2026-07-05T03:21:03.959462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84b35644935a4be734423986e961ae9a860aebd7e2fafae41f5b708b9c463c9f

Aliases

arxiv: 1903.00333 · arxiv_version: 1903.00333v2 · doi: 10.48550/arxiv.1903.00333 · pith_short_12: QSZVMRETLJF6 · pith_short_16: QSZVMRETLJF6ONCC · pith_short_8: QSZVMRET

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/QSZVMRETLJF6ONCCHGDOSYNOTK \
  | 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: 84b35644935a4be734423986e961ae9a860aebd7e2fafae41f5b708b9c463c9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9f92b6e795c19171eeae341f7b2e877c584f0ca8f3afc4d7da9936c8608b706",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-02-28T15:13:06Z",
    "title_canon_sha256": "34f7e3d19bccd70fbb413937fc3f5c41e98e44694b94b1e259b243d1dfec19e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.00333",
    "kind": "arxiv",
    "version": 2
  }
}