Pith Number

pith:NN4BJCV3

pith:2019:NN4BJCV3NIAYIRTPRCSHV25YWT

not attested not anchored not stored refs pending

Equilibrium in Production Chains with Multiple Upstream Partners

Junnan Zhang, Meng Yu

arxiv:1908.08208 v1 · 2019-08-22 · 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{NN4BJCV3NIAYIRTPRCSHV25YWT}

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	2026-07-04T23:59:10.590399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b78148abb6a0184466f88a47aebb8b4ea29ad3c57d1b4392700e77e0586a508

Aliases

arxiv: 1908.08208 · arxiv_version: 1908.08208v1 · doi: 10.48550/arxiv.1908.08208 · pith_short_12: NN4BJCV3NIAY · pith_short_16: NN4BJCV3NIAYIRTP · pith_short_8: NN4BJCV3

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/NN4BJCV3NIAYIRTPRCSHV25YWT \
  | 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: 6b78148abb6a0184466f88a47aebb8b4ea29ad3c57d1b4392700e77e0586a508

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c89a65912a8ceed7e1a6fc6bce5ca78a01b7fd907f4de3fb14e14dd9a4fd9035",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2019-08-22T05:35:46Z",
    "title_canon_sha256": "51ca63f81be1046a7a9d96c2937489256180c484d20a20f27ee4ed98e0ab6022"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08208",
    "kind": "arxiv",
    "version": 1
  }
}