Pith Number

pith:CL7PERVX

pith:2014:CL7PERVXNERLBX3K54YN4PSXZM

not attested not anchored not stored refs pending

A maximum principle for Markov-modulated SDEs of mean-field type and mean-field game

Yongming Tai

arxiv:1404.7299 v3 · 2014-04-29 · 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{CL7PERVXNERLBX3K54YN4PSXZM}

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	2026-05-18T02:51:23.985736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12fef246b76922b0df6aef30de3e57cb092812b5f7b6ee5ccaf464cdbc13dec8

Aliases

arxiv: 1404.7299 · arxiv_version: 1404.7299v3 · doi: 10.48550/arxiv.1404.7299 · pith_short_12: CL7PERVXNERL · pith_short_16: CL7PERVXNERLBX3K · pith_short_8: CL7PERVX

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/CL7PERVXNERLBX3K54YN4PSXZM \
  | 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: 12fef246b76922b0df6aef30de3e57cb092812b5f7b6ee5ccaf464cdbc13dec8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77393a2da93d11678494f40649488e5a32bcad7ac365446ab714fa02e3885492",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-04-29T10:28:49Z",
    "title_canon_sha256": "d338a2f6040c58e96efa79b28ee5a8e68f7bf957a85af59785111b6f7a15b556"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7299",
    "kind": "arxiv",
    "version": 3
  }
}