Pith Number

pith:2QIKRJ2F

pith:2025:2QIKRJ2FGE4BOC5PKSAYNKIPEG

not attested not anchored not stored refs pending

Ranking Quantilized Mean-Field Games with an Application to Early-Stage Venture Investments

Dena Firoozi, Mich\`ele Breton, Rinel Foguen Tchuendom

arxiv:2507.00853 v2 · 2025-07-01 · math.OC · cs.SY · eess.SY · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2QIKRJ2FGE4BOC5PKSAYNKIPEG}

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	2026-06-26T01:15:13.896325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d410a8a7453138170baf548186a90f218151bbd041f9c02568ca298563bdf2f7

Aliases

arxiv: 2507.00853 · arxiv_version: 2507.00853v2 · doi: 10.48550/arxiv.2507.00853 · pith_short_12: 2QIKRJ2FGE4B · pith_short_16: 2QIKRJ2FGE4BOC5P · pith_short_8: 2QIKRJ2F

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/2QIKRJ2FGE4BOC5PKSAYNKIPEG \
  | 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: d410a8a7453138170baf548186a90f218151bbd041f9c02568ca298563bdf2f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61328af2bbf8f50d14349eaa961750f3cdcf5d6c56b43cdd1bfb1aa6e9e17809",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-01T15:24:14Z",
    "title_canon_sha256": "25fea1fc1e5236c89ea9114b960b6779e766df74b2f4887143c654374b878992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00853",
    "kind": "arxiv",
    "version": 2
  }
}