Pith Number

pith:AFQFUEVT

pith:2018:AFQFUEVTRAMGKANEL5EA6SCELD

not attested not anchored not stored refs pending

Kinetic models for optimal control of wealth inequalities

Bertram D\"uring, Giuseppe Toscani, Lorenzo Pareschi

arxiv:1803.02171 v2 · 2018-03-06 · physics.soc-ph · econ.GN · math.OC · q-fin.EC · q-fin.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFQFUEVTRAMGKANEL5EA6SCELD}

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	2026-05-18T00:02:27.945929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01605a12b388186501a45f480f484458f8aa28ab217a73c8ca886ecc7a640f8d

Aliases

arxiv: 1803.02171 · arxiv_version: 1803.02171v2 · doi: 10.48550/arxiv.1803.02171 · pith_short_12: AFQFUEVTRAMG · pith_short_16: AFQFUEVTRAMGKANE · pith_short_8: AFQFUEVT

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/AFQFUEVTRAMGKANEL5EA6SCELD \
  | 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: 01605a12b388186501a45f480f484458f8aa28ab217a73c8ca886ecc7a640f8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06c3714e4432c0d87e813798e1cd8a3b7ae5decfc9bf2a0c07d2209ce8eaa090",
    "cross_cats_sorted": [
      "econ.GN",
      "math.OC",
      "q-fin.EC",
      "q-fin.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2018-03-06T13:46:34Z",
    "title_canon_sha256": "0078f9bf735399ba0036815bdf1583878a9331a5735dc6b25dc00ac30f213cde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02171",
    "kind": "arxiv",
    "version": 2
  }
}