Pith Number

pith:NZQZ4NTM

pith:2018:NZQZ4NTM2JEZVU2A7T6ZVHB3LO

not attested not anchored not stored refs pending

Fokker-Planck equations of jumping particles and mean field games of impulse control

Charles Bertucci (CEREMADE)

arxiv:1803.06126 v2 · 2018-03-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZQZ4NTM2JEZVU2A7T6ZVHB3LO}

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	2026-05-18T00:11:57.157976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e619e366cd2499ad340fcfd9a9c3b5b8b5061cc449e9e273886590775ff7581

Aliases

arxiv: 1803.06126 · arxiv_version: 1803.06126v2 · doi: 10.48550/arxiv.1803.06126 · pith_short_12: NZQZ4NTM2JEZ · pith_short_16: NZQZ4NTM2JEZVU2A · pith_short_8: NZQZ4NTM

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/NZQZ4NTM2JEZVU2A7T6ZVHB3LO \
  | 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: 6e619e366cd2499ad340fcfd9a9c3b5b8b5061cc449e9e273886590775ff7581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25e41daf5be00fd3503f05c9763e6ec26bb1291ebc9966c39a9326b093f33438",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-16T09:42:32Z",
    "title_canon_sha256": "5214b7e76fcf9634ddf5346f57e740de644b61c73b60b783ede1518e96438c18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06126",
    "kind": "arxiv",
    "version": 2
  }
}