Pith Number

pith:LKAFTNOY

pith:2015:LKAFTNOYZLC5DNEHUKENO25RLB

not attested not anchored not stored refs pending

A model for the optimal design of a supply chain network driven by stochastic fluctuations

Amit K. Chattopadhyay, Kostas Petridis, Prasanta K. Dey

arxiv:1501.05909 v1 · 2015-01-20 · math.OC · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKAFTNOYZLC5DNEHUKENO25RLB}

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	2026-05-18T02:28:48.751453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a8059b5d8cac5d1b487a288d76bb15868e988b7664bff6522800b563bd4f0fb

Aliases

arxiv: 1501.05909 · arxiv_version: 1501.05909v1 · doi: 10.48550/arxiv.1501.05909 · pith_short_12: LKAFTNOYZLC5 · pith_short_16: LKAFTNOYZLC5DNEH · pith_short_8: LKAFTNOY

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/LKAFTNOYZLC5DNEHUKENO25RLB \
  | 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: 5a8059b5d8cac5d1b487a288d76bb15868e988b7664bff6522800b563bd4f0fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58b0dd4d18c9651c1976460f1bdae3906b022b4dcb7c4b9579e3996b59fb0bdd",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-01-20T12:16:41Z",
    "title_canon_sha256": "56c976dc6bb28b3dffbe8b6d6d8e8bb45ff42c7bbb4adba3b9b136ddbbebf4e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05909",
    "kind": "arxiv",
    "version": 1
  }
}