Pith Number

pith:5LJ4XMBQ

pith:2018:5LJ4XMBQZSAWQ5KA6F27SSTVTT

not attested not anchored not stored refs pending

Probabilistic error analysis for some approximation schemes to optimal control problems

Athena Picarelli, Christoph Reisinger

arxiv:1810.04691 v3 · 2018-10-10 · 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{5LJ4XMBQZSAWQ5KA6F27SSTVTT}

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	2026-07-05T00:29:36.265502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ead3cbb030cc81687540f175f94a759ce05605d51fe96bef693f628ea790699d

Aliases

arxiv: 1810.04691 · arxiv_version: 1810.04691v3 · doi: 10.48550/arxiv.1810.04691 · pith_short_12: 5LJ4XMBQZSAW · pith_short_16: 5LJ4XMBQZSAWQ5KA · pith_short_8: 5LJ4XMBQ

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/5LJ4XMBQZSAWQ5KA6F27SSTVTT \
  | 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: ead3cbb030cc81687540f175f94a759ce05605d51fe96bef693f628ea790699d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bdf9a0607ff71e6b6e6f34e2e9a1d82a3c625638cc4b984a7da3fedcba01f8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-10-10T18:03:11Z",
    "title_canon_sha256": "72f64c729c7008412534fef098565acb2e267ec38aa9952bbb4ffd793ab1fee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04691",
    "kind": "arxiv",
    "version": 3
  }
}