Pith Number

pith:Y6SZXMNX

pith:2014:Y6SZXMNXO5XSAXFJTELGECPKY7

not attested not anchored not stored refs pending

Mean-field limit versus small-noise limit for some interacting particle systems

Julian Tugaut (ICJ), Samuel Herrmann (IMB)

arxiv:1409.1159 v1 · 2014-09-03 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6SZXMNXO5XSAXFJTELGECPKY7}

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	2026-05-18T02:43:37.570672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7a59bb1b7776f205ca999166209eac7d4ed81b977d19487987d4a1a5e75808c

Aliases

arxiv: 1409.1159 · arxiv_version: 1409.1159v1 · doi: 10.48550/arxiv.1409.1159 · pith_short_12: Y6SZXMNXO5XS · pith_short_16: Y6SZXMNXO5XSAXFJ · pith_short_8: Y6SZXMNX

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/Y6SZXMNXO5XSAXFJTELGECPKY7 \
  | 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: c7a59bb1b7776f205ca999166209eac7d4ed81b977d19487987d4a1a5e75808c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e8a3ab47bfa277e9a6461219e72a0c18bb1bf0ffd0f9789b37992f1c9478061",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-03T16:42:45Z",
    "title_canon_sha256": "fdec4ce073ab2a3d8984044c51ade45998b47a167ecf97dfb05b97f20a87f9c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1159",
    "kind": "arxiv",
    "version": 1
  }
}