Pith Number

pith:HU4WVTDC

pith:2019:HU4WVTDC3LZYL3PS6X7L4A2PPJ

not attested not anchored not stored refs pending

A multi-level ADMM algorithm for elliptic PDE-constrained optimization problems

Bo Yu, Xiaoliang Song, Xiaotong Chen, Zixuan Chen

arxiv:1908.04652 v1 · 2019-08-13 · 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{HU4WVTDC3LZYL3PS6X7L4A2PPJ}

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	2026-07-04T23:55:15.293342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d396acc62daf385edf2f5febe034f7a6a74e7868051a44b9c78f15f50f0afae

Aliases

arxiv: 1908.04652 · arxiv_version: 1908.04652v1 · doi: 10.48550/arxiv.1908.04652 · pith_short_12: HU4WVTDC3LZY · pith_short_16: HU4WVTDC3LZYL3PS · pith_short_8: HU4WVTDC

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/HU4WVTDC3LZYL3PS6X7L4A2PPJ \
  | 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: 3d396acc62daf385edf2f5febe034f7a6a74e7868051a44b9c78f15f50f0afae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d9075ff5fb967a1553781316ccf41d7af8a374149a6e43c52d17765dad68f7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-08-13T14:16:25Z",
    "title_canon_sha256": "be9d36c6bac41919c7d5c2b4bcabeaa3a088ae13decdcdd49c9b93b868e444fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04652",
    "kind": "arxiv",
    "version": 1
  }
}