Pith Number

pith:MRKRIC55

pith:2017:MRKRIC55QXRVKBVMV47EFSK3IQ

not attested not anchored not stored refs pending

On the size of chaos in the mean field dynamics

Mario Pulvirenti, Sergio Simonella, Thierry Paul (CMLS)

arxiv:1708.07701 v5 · 2017-08-25 · math.AP · math-ph · math.DS · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRKRIC55QXRVKBVMV47EFSK3IQ}

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	2026-05-18T00:08:11.195390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6455140bbd85e35506acaf3e42c95b44233efbfd887d7d355f5951487114c60e

Aliases

arxiv: 1708.07701 · arxiv_version: 1708.07701v5 · doi: 10.48550/arxiv.1708.07701 · pith_short_12: MRKRIC55QXRV · pith_short_16: MRKRIC55QXRVKBVM · pith_short_8: MRKRIC55

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/MRKRIC55QXRVKBVMV47EFSK3IQ \
  | 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: 6455140bbd85e35506acaf3e42c95b44233efbfd887d7d355f5951487114c60e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfd2f6ebc91cbefcb4a40df1d4f7c784a7ceb2f93c82b9605e0b933eb6533e80",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-25T11:53:30Z",
    "title_canon_sha256": "514b1c94a15717396fc8c619983ea54148ed2c87ba86e03e618a3ff36479f1fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07701",
    "kind": "arxiv",
    "version": 5
  }
}