Pith Number

pith:7TWAEL35

pith:2017:7TWAEL35FO2LAZ6UVD4GI26457

not attested not anchored not stored refs pending

Non-commutative Discretize-then-Optimize Algorithms for Elliptic PDE-Constrained Optimal Control Problems

Jun Liu, Zhu Wang

arxiv:1706.07652 v3 · 2017-06-23 · 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{7TWAEL35FO2LAZ6UVD4GI26457}

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	2026-05-18T00:08:23.637353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcec022f7d2bb4b067d4a8f8646bdcefd9e96066aed6735d81b3c997f6338640

Aliases

arxiv: 1706.07652 · arxiv_version: 1706.07652v3 · doi: 10.48550/arxiv.1706.07652 · pith_short_12: 7TWAEL35FO2L · pith_short_16: 7TWAEL35FO2LAZ6U · pith_short_8: 7TWAEL35

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/7TWAEL35FO2LAZ6UVD4GI26457 \
  | 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: fcec022f7d2bb4b067d4a8f8646bdcefd9e96066aed6735d81b3c997f6338640

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaa42bd6976ac329d6350e251f25f2a6f592739f4e8300568cfdb15378d7839d",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-06-23T12:02:30Z",
    "title_canon_sha256": "15b5e77d6dd7d83ca20e2f4a117ae4497bbd0947361cd1b5270258716137a248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07652",
    "kind": "arxiv",
    "version": 3
  }
}