Pith Number

pith:E2T7Z2FT

pith:2021:E2T7Z2FTPNVFJWPFYU4BIQHYYR

not attested not anchored not stored refs pending

A Note on Global Optimization for Max-Plus Linear Systems

Cailu Wang, Yuegang Tao

arxiv:2103.15271 v1 · 2021-03-29 · 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{E2T7Z2FTPNVFJWPFYU4BIQHYYR}

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	2026-07-05T02:27:04.423261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26a7fce8b37b6a54d9e5c5381440f8c4483eeb8222a59cee1030f78124d4439f

Aliases

arxiv: 2103.15271 · arxiv_version: 2103.15271v1 · doi: 10.48550/arxiv.2103.15271 · pith_short_12: E2T7Z2FTPNVF · pith_short_16: E2T7Z2FTPNVFJWPF · pith_short_8: E2T7Z2FT

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/E2T7Z2FTPNVFJWPFYU4BIQHYYR \
  | 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: 26a7fce8b37b6a54d9e5c5381440f8c4483eeb8222a59cee1030f78124d4439f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d5803f682f8927c76c2edc811f71ddf8e46407c328a835c39b8c7dc0cd84fc8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-03-29T01:48:40Z",
    "title_canon_sha256": "26199c6be76fba2ade5fc567537ab888117e4ef7f4ffa028920f040802eb9fd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.15271",
    "kind": "arxiv",
    "version": 1
  }
}