Pith Number

pith:OGO2ZRKV

pith:2021:OGO2ZRKVQKQKRLGKFACCE7DPNE

not attested not anchored not stored refs pending

Pooling problems under perfect and imperfect competition

Dimitri J. Papageorgiou, Francisco Trespalacios, Stuart M. Harwood

arxiv:2110.03018 v2 · 2021-10-06 · 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{OGO2ZRKVQKQKRLGKFACCE7DPNE}

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	2026-07-05T05:18:43.968010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

719dacc55582a0a8acca2804227c6f6922b839ebeb34a0eefa25fe34ebb5706c

Aliases

arxiv: 2110.03018 · arxiv_version: 2110.03018v2 · doi: 10.48550/arxiv.2110.03018 · pith_short_12: OGO2ZRKVQKQK · pith_short_16: OGO2ZRKVQKQKRLGK · pith_short_8: OGO2ZRKV

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/OGO2ZRKVQKQKRLGKFACCE7DPNE \
  | 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: 719dacc55582a0a8acca2804227c6f6922b839ebeb34a0eefa25fe34ebb5706c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53fca2490ecc9f05957a15b81fe9ac6832b97ca780cfb624a7d7e20a0c78b346",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-10-06T19:06:10Z",
    "title_canon_sha256": "f8988d370fe36d7cb77739dba96222c2b2a73164c5f454bf7ad712c94972da71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.03018",
    "kind": "arxiv",
    "version": 2
  }
}