Pith Number

pith:7GSYDKCV

pith:2016:7GSYDKCVBBBWWQHHLYWD7YTGIK

not attested not anchored not stored refs pending

Solving 1D Conservation Laws Using Pontryagin's Minimum Principle

Lucas C. Wilcox, Wei Kang

arxiv:1605.04473 v5 · 2016-05-14 · 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{7GSYDKCVBBBWWQHHLYWD7YTGIK}

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	2026-05-18T00:51:01.314993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9a581a85508436b40e75e2c3fe2664295567f0905d0dcfe4e86f562bb9c9f74

Aliases

arxiv: 1605.04473 · arxiv_version: 1605.04473v5 · doi: 10.48550/arxiv.1605.04473 · pith_short_12: 7GSYDKCVBBBW · pith_short_16: 7GSYDKCVBBBWWQHH · pith_short_8: 7GSYDKCV

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/7GSYDKCVBBBWWQHHLYWD7YTGIK \
  | 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: f9a581a85508436b40e75e2c3fe2664295567f0905d0dcfe4e86f562bb9c9f74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d12d34cc51ea487ee86775ccc97ad8577d8197cb4ec5b99f3830147c25139ac4",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-05-14T21:58:59Z",
    "title_canon_sha256": "baeaf54b7c36cc7ed5f13cdbc72ed3d0a68fc985486ade5bfa60c070ac622849"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04473",
    "kind": "arxiv",
    "version": 5
  }
}