Pith Number

pith:HR4DDHAB

pith:2026:HR4DDHABAC6DNY2WFFEZ5ZMLJF

not attested not anchored not stored refs pending

Mean field and N-agent games for optimal relative consumption-investment with jump risk and common noise

Fuxing Li, Yawei Wei, Yiming Jiang, Zimeng Zheng

arxiv:2607.20845 v1 · 2026-07-23 · 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{HR4DDHABAC6DNY2WFFEZ5ZMLJF}

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	2026-07-24T00:23:37.948513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c78319c0100bc36e35629499ee58b4967d3f8b9e263f30cdecdb20f79f0719b

Aliases

arxiv: 2607.20845 · arxiv_version: 2607.20845v1 · doi: 10.48550/arxiv.2607.20845 · pith_short_12: HR4DDHABAC6D · pith_short_16: HR4DDHABAC6DNY2W · pith_short_8: HR4DDHAB

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/HR4DDHABAC6DNY2WFFEZ5ZMLJF \
  | 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: 3c78319c0100bc36e35629499ee58b4967d3f8b9e263f30cdecdb20f79f0719b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "021d63e4051a4060fe11edea54e16c75808c9bf1915d8ea0b2321644ec67b603",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-23T02:12:14Z",
    "title_canon_sha256": "342895eb77d591802d8b9a6d4f443735fe439d7a22ef4252b7d95d71ee12f28e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20845",
    "kind": "arxiv",
    "version": 1
  }
}