Pith Number

pith:VPYNRDPP

pith:2024:VPYNRDPP4RILKNFLLJF4WLGZMX

not attested not anchored not stored refs pending

A Class of Multi-Objective Control Problems for Quasi-linear Parabolic Equations

Xu Liu, Xu Zhang, Yanming Dong

arxiv:2410.08532 v3 · 2024-10-11 · 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{VPYNRDPP4RILKNFLLJF4WLGZMX}

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	2026-07-05T09:55:13.210268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abf0d88defe450b534ab5a4bcb2cd965dfd6fc13638b7bfdaaa4bda1de638f13

Aliases

arxiv: 2410.08532 · arxiv_version: 2410.08532v3 · doi: 10.48550/arxiv.2410.08532 · pith_short_12: VPYNRDPP4RIL · pith_short_16: VPYNRDPP4RILKNFL · pith_short_8: VPYNRDPP

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/VPYNRDPP4RILKNFLLJF4WLGZMX \
  | 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: abf0d88defe450b534ab5a4bcb2cd965dfd6fc13638b7bfdaaa4bda1de638f13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18bb6bf5895e225c59dc80f7041fe10a19a7b9353808875af659f4bc89d6ac98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-10-11T05:03:57Z",
    "title_canon_sha256": "b68c4d7dcc8274cc5213b8264222766d4a56f8a7623bed57799b91af03e1a416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.08532",
    "kind": "arxiv",
    "version": 3
  }
}