Pith Number

pith:XJQTY3A4

pith:2016:XJQTY3A46CMZSFT7T4RSSNFUT3

not attested not anchored not stored refs pending

Universality of Makespan in Flowshop Scheduling Problem

Ikou Kaku, Kei Kobayashi, Takashi Shinzato

arxiv:1607.07303 v1 · 2016-07-22 · math.OC · cond-mat.dis-nn · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJQTY3A46CMZSFT7T4RSSNFUT3}

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	2026-05-18T01:10:34.239631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba613c6c1cf09999167f9f232934b49edb2ebcc6aa74a2e514c2b5036226f756

Aliases

arxiv: 1607.07303 · arxiv_version: 1607.07303v1 · doi: 10.48550/arxiv.1607.07303 · pith_short_12: XJQTY3A46CMZ · pith_short_16: XJQTY3A46CMZSFT7 · pith_short_8: XJQTY3A4

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/XJQTY3A46CMZSFT7T4RSSNFUT3 \
  | 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: ba613c6c1cf09999167f9f232934b49edb2ebcc6aa74a2e514c2b5036226f756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c901c9f73154d121d7ebdedc13530f845c17ad41fcf7f0c1a88b7ca746bcbf48",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-22T06:29:06Z",
    "title_canon_sha256": "db81ab592eccd9d9b69b9da5bb7be1405358589253821c560fb1f7c137465604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07303",
    "kind": "arxiv",
    "version": 1
  }
}