Pith Number

pith:NQFNORBL

pith:2020:NQFNORBLSOHE35Y7U4V2JVTAWB

not attested not anchored not stored refs pending

Optimal regularity of extended mean field controls and their piecewise constant approximation

Christoph Reisinger, Wolfgang Stockinger, Yufei Zhang

arxiv:2009.08175 v3 · 2020-09-17 · math.OC · cs.NA · 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{NQFNORBLSOHE35Y7U4V2JVTAWB}

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	2026-07-05T03:17:01.004820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c0ad7442b938e4df71fa72ba4d660b06e3db93ea5bcbbe5c89f10204de95e75

Aliases

arxiv: 2009.08175 · arxiv_version: 2009.08175v3 · doi: 10.48550/arxiv.2009.08175 · pith_short_12: NQFNORBLSOHE · pith_short_16: NQFNORBLSOHE35Y7 · pith_short_8: NQFNORBL

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/NQFNORBLSOHE35Y7U4V2JVTAWB \
  | 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: 6c0ad7442b938e4df71fa72ba4d660b06e3db93ea5bcbbe5c89f10204de95e75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e52e9737b809f3026dde38a7bbde60d930e92dbb35adcb2f0688d5229eca4476",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-09-17T09:38:56Z",
    "title_canon_sha256": "db29722c33429d255dda5df33893850577493f2d223aa692e988001920efd8af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.08175",
    "kind": "arxiv",
    "version": 3
  }
}