Pith Number

pith:L2OVBMLV

pith:2011:L2OVBMLVN4G2MRPO7PLCSTTAWZ

not attested not anchored not stored refs pending

On the concentration properties of Interacting particle processes

Liming Wu, Peng Hu (INRIA Bordeaux - Sud-Ouest), Pierre Del Moral (INRIA Bordeaux - Sud-Ouest)

arxiv:1107.1948 v2 · 2011-07-11 · math.NA · 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{L2OVBMLVN4G2MRPO7PLCSTTAWZ}

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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	2026-05-18T04:18:32.913487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e9d50b1756f0da645eefbd6294e60b67736e9ba09b715c5001334f1e8c60f76

Aliases

arxiv: 1107.1948 · arxiv_version: 1107.1948v2 · doi: 10.48550/arxiv.1107.1948 · pith_short_12: L2OVBMLVN4G2 · pith_short_16: L2OVBMLVN4G2MRPO · pith_short_8: L2OVBMLV

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/L2OVBMLVN4G2MRPO7PLCSTTAWZ \
  | 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: 5e9d50b1756f0da645eefbd6294e60b67736e9ba09b715c5001334f1e8c60f76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98d7e9622e22f218749ef53d548a19a086aa4feecf43d3200c4ed70cbe5cec3b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-07-11T07:08:19Z",
    "title_canon_sha256": "4432cf50924837d3e45c775d76286ab9e65b87167eff3b3f7981aedaa5de269e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1948",
    "kind": "arxiv",
    "version": 2
  }
}