Pith Number

pith:HGQHQMPG

pith:2012:HGQHQMPGQCJFXPR6FP3NWFQIID

not attested not anchored not stored refs pending

Parareal in time intermediate targets methods for optimal control problem

Julien Salomon, Mohamed-Kamel Riahi, Yvon Maday

arxiv:1203.2360 v1 · 2012-03-11 · math.OC · 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{HGQHQMPGQCJFXPR6FP3NWFQIID}

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	2026-05-18T04:00:25.730949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39a07831e680925bbe3e2bf6db160840d90194c1c107c4761eac13ca6f2ff26b

Aliases

arxiv: 1203.2360 · arxiv_version: 1203.2360v1 · doi: 10.48550/arxiv.1203.2360 · pith_short_12: HGQHQMPGQCJF · pith_short_16: HGQHQMPGQCJFXPR6 · pith_short_8: HGQHQMPG

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/HGQHQMPGQCJFXPR6FP3NWFQIID \
  | 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: 39a07831e680925bbe3e2bf6db160840d90194c1c107c4761eac13ca6f2ff26b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a626ab2cf26a0f7f68c5ea90be8dcf5c0f0ea8aa04fd95fa9e035b350cd4065",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-03-11T18:57:42Z",
    "title_canon_sha256": "04b09169c22a3ac78022c44bc8fedfcf012846d9ff0d28e73a699a4504f68360"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2360",
    "kind": "arxiv",
    "version": 1
  }
}