Pith Number

pith:V5EPHN5A

pith:2018:V5EPHN5AV2BEOPQZ6POP76ZKYL

not attested not anchored not stored refs pending

Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems

Giacomo Albi, Lorenzo Pareschi, Michael Herty

arxiv:1807.08547 v1 · 2018-07-23 · math.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{V5EPHN5AV2BEOPQZ6POP76ZKYL}

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	2026-05-18T00:10:05.568287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af48f3b7a0ae82473e19f3dcfffb2ac2ea26d2f38243fe95b4428e23276af9b9

Aliases

arxiv: 1807.08547 · arxiv_version: 1807.08547v1 · doi: 10.48550/arxiv.1807.08547 · pith_short_12: V5EPHN5AV2BE · pith_short_16: V5EPHN5AV2BEOPQZ · pith_short_8: V5EPHN5A

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/V5EPHN5AV2BEOPQZ6POP76ZKYL \
  | 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: af48f3b7a0ae82473e19f3dcfffb2ac2ea26d2f38243fe95b4428e23276af9b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3281c0ce32e5f7feacc7274070a0d602af7222c0db343f69090deab928792526",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-07-23T11:49:39Z",
    "title_canon_sha256": "b67447feaf252bcadf8482dfeaba2eda0b98b3f7c60e9fd628a1ece5abf43ad2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08547",
    "kind": "arxiv",
    "version": 1
  }
}