Pith Number

pith:5TWMZGKQ

pith:2017:5TWMZGKQ7FYIUWUIUNO2Y2CPJ6

not attested not anchored not stored refs pending

A Weak Convergence Approach to Inventory Control Using a Long-term Average Criterion

Chao Zhu, Kurt L. Helmes, Richard H. Stockbridge

arxiv:1702.01041 v3 · 2017-02-03 · 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{5TWMZGKQ7FYIUWUIUNO2Y2CPJ6}

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	2026-05-18T00:06:20.995894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ececcc9950f9708a5a88a35dac684f4f81281173c3ed62e8812299a06fbd4470

Aliases

arxiv: 1702.01041 · arxiv_version: 1702.01041v3 · doi: 10.48550/arxiv.1702.01041 · pith_short_12: 5TWMZGKQ7FYI · pith_short_16: 5TWMZGKQ7FYIUWUI · pith_short_8: 5TWMZGKQ

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/5TWMZGKQ7FYIUWUIUNO2Y2CPJ6 \
  | 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: ececcc9950f9708a5a88a35dac684f4f81281173c3ed62e8812299a06fbd4470

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ebdef6d2e7bb91e231fb537ad67909d76886fe01eba30a9470b5daaebe71412",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-02-03T15:13:55Z",
    "title_canon_sha256": "61e307b47730057d40bce89c6639e9ea5a3e88035b77cd6bbcbb3a018251a157"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01041",
    "kind": "arxiv",
    "version": 3
  }
}