Pith Number

pith:FRULGWAD

pith:2026:FRULGWADVTWNUJYDEYFGNLE6HY

not attested not anchored not stored refs pending

From PDEs constrained optimization to controllability problems via time domain decomposition

Liu-Di Lu, Pierre-Henri Cocquet

arxiv:2605.22312 v1 · 2026-05-21 · math.NA · cs.NA · 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{FRULGWADVTWNUJYDEYFGNLE6HY}

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	2026-05-22T01:04:37.260624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c68b35803acecda2703260a66ac9e3e00909bed284ec7cc27531c01b9de4818

Aliases

arxiv: 2605.22312 · arxiv_version: 2605.22312v1 · doi: 10.48550/arxiv.2605.22312 · pith_short_12: FRULGWADVTWN · pith_short_16: FRULGWADVTWNUJYD · pith_short_8: FRULGWAD

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/FRULGWADVTWNUJYDEYFGNLE6HY \
  | 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: 2c68b35803acecda2703260a66ac9e3e00909bed284ec7cc27531c01b9de4818

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23ed4b2cbb2fc3d29daae43cb8b9ed7688365007f6e5ed0078aca4f49fe1c868",
    "cross_cats_sorted": [
      "cs.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-21T10:59:04Z",
    "title_canon_sha256": "5cf46557adb9bad3333d016886989ca66c2c91e99629159c062d04e84f074b7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22312",
    "kind": "arxiv",
    "version": 1
  }
}