Pith Number

pith:TW5PQYU3

pith:2018:TW5PQYU3DRKS7LVPABLHCTYRJD

not attested not anchored not stored refs pending

Continuous-time integral dynamics for Aggregative Game equilibrium seeking

Claudio De Persis, Sergio Grammatico

arxiv:1803.10448 v1 · 2018-03-28 · math.OC · cs.GT · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TW5PQYU3DRKS7LVPABLHCTYRJD}

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	2026-05-18T00:19:55.376193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dbaf8629b1c552faeaf0056714f1148cc3198b7e4f3b797cc859135bf545bd0

Aliases

arxiv: 1803.10448 · arxiv_version: 1803.10448v1 · doi: 10.48550/arxiv.1803.10448 · pith_short_12: TW5PQYU3DRKS · pith_short_16: TW5PQYU3DRKS7LVP · pith_short_8: TW5PQYU3

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/TW5PQYU3DRKS7LVPABLHCTYRJD \
  | 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: 9dbaf8629b1c552faeaf0056714f1148cc3198b7e4f3b797cc859135bf545bd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37f994ba99e712cdcc7d5a1b8bc30b8f6dc217adde66c5d86e2c9f7563ea2c14",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-03-28T08:03:28Z",
    "title_canon_sha256": "cd9dac1992ac52f4e296e0d81f8565fbcf17acb06fd0263a02f25c4669e14ede"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10448",
    "kind": "arxiv",
    "version": 1
  }
}