Pith Number

pith:D2DTSLPT

pith:2018:D2DTSLPTWJYOV6GM4RIH6FENOQ

not attested not anchored not stored refs pending

Exactly solvable Gaussian and non-Gaussian mean-field games and collective swarms dynamics

Max-Olivier Hongler

arxiv:1811.07891 v1 · 2018-11-19 · cond-mat.stat-mech · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2DTSLPTWJYOV6GM4RIH6FENOQ}

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	2026-05-18T00:00:17.388169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e87392df3b270eaf8cce4507f148d741dbf9d688d3828154cca19f388ae44ad

Aliases

arxiv: 1811.07891 · arxiv_version: 1811.07891v1 · doi: 10.48550/arxiv.1811.07891 · pith_short_12: D2DTSLPTWJYO · pith_short_16: D2DTSLPTWJYOV6GM · pith_short_8: D2DTSLPT

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/D2DTSLPTWJYOV6GM4RIH6FENOQ \
  | 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: 1e87392df3b270eaf8cce4507f148d741dbf9d688d3828154cca19f388ae44ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db239c8974c03f358ed5e06f28d6e553e8145871e7cc3cb4c9f39c5ae0abe307",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-11-19T11:36:36Z",
    "title_canon_sha256": "5c297fcd4ad9c4f034184a15f532dd2b6d6f549076787b9202c54a37c68f93da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07891",
    "kind": "arxiv",
    "version": 1
  }
}