Pith Number

pith:6H2PGVZO

pith:2025:6H2PGVZOC35HSXZ35CIIHVHRIH

not attested not anchored not stored refs pending

Optimal Pricing Strategies for Heterogeneous Customers in Dual-Channel Closed-Loop Supply Chains: A Modeling Approach

Hisashi Kurata, Ting Wang, Yang Xiao

arxiv:2505.21787 v1 · 2025-05-27 · math.OC · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6H2PGVZOC35HSXZ35CIIHVHRIH}

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	2026-07-05T11:11:03.530573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1f4f3572e16fa795f3be89083d4f141e327637207afb88150468575d6bc5fe2

Aliases

arxiv: 2505.21787 · arxiv_version: 2505.21787v1 · doi: 10.48550/arxiv.2505.21787 · pith_short_12: 6H2PGVZOC35H · pith_short_16: 6H2PGVZOC35HSXZ3 · pith_short_8: 6H2PGVZO

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/6H2PGVZOC35HSXZ35CIIHVHRIH \
  | 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: f1f4f3572e16fa795f3be89083d4f141e327637207afb88150468575d6bc5fe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbc6a61d1df658c03ac2b9a98bc26fad7e9361e681152b1deba19ec0b93322af",
    "cross_cats_sorted": [
      "econ.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-05-27T21:38:29Z",
    "title_canon_sha256": "477cd047347d134e61648a3f9b5861033683567058f2a18144e0539ae381ce30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21787",
    "kind": "arxiv",
    "version": 1
  }
}