Pith Number

pith:QOGO43MP

pith:2015:QOGO43MPOXUUPZ6YJBDTGZEBEC

not attested not anchored not stored refs pending

Modeling and Computation of Mean Field Equilibria in Producers' Game with Emission Permits Trading

Alexander Shananin, Shuhua Chang, Xinyu Wang

arxiv:1506.04869 v1 · 2015-06-16 · q-fin.EC · cs.SY · 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{QOGO43MPOXUUPZ6YJBDTGZEBEC}

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	2026-05-18T01:48:05.666414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

838cee6d8f75e947e7d8484733648120b1869061fdfebfd27dcce89ca64600a5

Aliases

arxiv: 1506.04869 · arxiv_version: 1506.04869v1 · doi: 10.48550/arxiv.1506.04869 · pith_short_12: QOGO43MPOXUU · pith_short_16: QOGO43MPOXUUPZ6Y · pith_short_8: QOGO43MP

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/QOGO43MPOXUUPZ6YJBDTGZEBEC \
  | 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: 838cee6d8f75e947e7d8484733648120b1869061fdfebfd27dcce89ca64600a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4444a78236a2ecd94dac294dde38f1db25c5c0213691071e5a47ba1fd07605a6",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "q-fin.EC",
    "submitted_at": "2015-06-16T08:20:01Z",
    "title_canon_sha256": "5931212d021e2c014057d94d9869f2a90f0062d7c3b9d7c8e2f4d106a57632fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04869",
    "kind": "arxiv",
    "version": 1
  }
}