Pith Number

pith:72LDULLI

pith:2014:72LDULLIE7BCBNJHZ3YLG4UA5D

not attested not anchored not stored refs pending

Tropical optimization problems with application to project scheduling with minimum makespan

Nikolai Krivulin

arxiv:1403.0268 v4 · 2014-03-02 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72LDULLIE7BCBNJHZ3YLG4UA5D}

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	2026-05-18T00:35:09.678027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe963a2d6827c220b527cef0b37280e8da468ba4977c768224482af9e93f8fd3

Aliases

arxiv: 1403.0268 · arxiv_version: 1403.0268v4 · doi: 10.48550/arxiv.1403.0268 · pith_short_12: 72LDULLIE7BC · pith_short_16: 72LDULLIE7BCBNJH · pith_short_8: 72LDULLI

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/72LDULLIE7BCBNJHZ3YLG4UA5D \
  | 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: fe963a2d6827c220b527cef0b37280e8da468ba4977c768224482af9e93f8fd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2832f551d98fa7aaf63ca80e579075947ac1df42f880f16e505162b8ce239dcc",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-03-02T21:52:15Z",
    "title_canon_sha256": "ac4c9a74c3636455e36bf6dd9f0bba3eca66064b057188d784e3cc4001275067"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0268",
    "kind": "arxiv",
    "version": 4
  }
}