Pith Number

pith:3K5J3XBZ

pith:2025:3K5J3XBZPDOF3BXU4C3655BWVZ

not attested not anchored not stored refs pending

Simultaneously decoding the unknown stationary state and function parameters for mean field games

Catharine W. K. Lo, Hongyu Liu

arxiv:2501.11955 v1 · 2025-01-21 · math.AP · 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{3K5J3XBZPDOF3BXU4C3655BWVZ}

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	2026-07-05T10:03:16.613256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daba9ddc3978dc5d86f4e0b7eef436ae7ec1693eadad96fcda9aa7504b4dd041

Aliases

arxiv: 2501.11955 · arxiv_version: 2501.11955v1 · doi: 10.48550/arxiv.2501.11955 · pith_short_12: 3K5J3XBZPDOF · pith_short_16: 3K5J3XBZPDOF3BXU · pith_short_8: 3K5J3XBZ

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/3K5J3XBZPDOF3BXU4C3655BWVZ \
  | 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: daba9ddc3978dc5d86f4e0b7eef436ae7ec1693eadad96fcda9aa7504b4dd041

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a651b476949b0e881650db3b70dc08e0098635c80c7537076e5b875b0b838a76",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-21T08:02:17Z",
    "title_canon_sha256": "ce0d67205c9e6f166c101a439c4903061db2457ecc1ffe7684404fc595a3d0dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.11955",
    "kind": "arxiv",
    "version": 1
  }
}