Pith Number

pith:UBL4MN7O

pith:2019:UBL4MN7OLW7GFUPPCRQUNNF7UP

not attested not anchored not stored refs pending

Acceleration via Symplectic Discretization of High-Resolution Differential Equations

Bin Shi, Michael I. Jordan, Simon S. Du, Weijie J. Su

arxiv:1902.03694 v2 · 2019-02-11 · math.OC · cs.LG · cs.NA · math.NA · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UBL4MN7OLW7GFUPPCRQUNNF7UP}

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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.

Cited by

1 paper in Pith

On the stability of optimization algorithms given by discretizations of the Euler-Lagrange ODE

Receipt and verification

First computed	2026-07-05T00:16:32.731558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a057c637ee5dbe62d1ef146146b4bfa3efa19a23c9d9bb51aceaf0f3d0a61860

Aliases

arxiv: 1902.03694 · arxiv_version: 1902.03694v2 · doi: 10.48550/arxiv.1902.03694 · pith_short_12: UBL4MN7OLW7G · pith_short_16: UBL4MN7OLW7GFUPP · pith_short_8: UBL4MN7O

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/UBL4MN7OLW7GFUPPCRQUNNF7UP \
  | 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: a057c637ee5dbe62d1ef146146b4bfa3efa19a23c9d9bb51aceaf0f3d0a61860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe7f5e74f424f2edd73bfe39bea3dac9e859cd40a6e3eb38abb93a3a4b451a3d",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-02-11T01:13:18Z",
    "title_canon_sha256": "d3e2ca4741d8e1360781390c8ffba17b5e683a7a15a9756d1b5f0cec441fea71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03694",
    "kind": "arxiv",
    "version": 2
  }
}