Pith Number

pith:PR2IZNNZ

pith:2021:PR2IZNNZ2HGZ3TDCP7ZFQOYBMY

not attested not anchored not stored refs pending

Parareal Neural Networks Emulating a Parallel-in-time Algorithm

Chang-Ock Lee, Jongho Park, Youngkyu Lee

arxiv:2103.08802 v1 · 2021-03-16 · math.NA · cs.LG · cs.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{PR2IZNNZ2HGZ3TDCP7ZFQOYBMY}

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	2026-07-05T08:39:49.389478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c748cb5b9d1cd9dcc627ff2583b01660690fd837eeddb37cbe4615dbc936b4e

Aliases

arxiv: 2103.08802 · arxiv_version: 2103.08802v1 · doi: 10.48550/arxiv.2103.08802 · pith_short_12: PR2IZNNZ2HGZ · pith_short_16: PR2IZNNZ2HGZ3TDC · pith_short_8: PR2IZNNZ

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/PR2IZNNZ2HGZ3TDCP7ZFQOYBMY \
  | 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: 7c748cb5b9d1cd9dcc627ff2583b01660690fd837eeddb37cbe4615dbc936b4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8ebbe99936700863882181fc3d8c04e4c6aa0c97deec2abf92ad45c71e90f61",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-03-16T02:03:39Z",
    "title_canon_sha256": "be2c9984a9e76e73254df018514ecd355a7f70f257a1c237b75097b33db7967b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.08802",
    "kind": "arxiv",
    "version": 1
  }
}