Pith Number

pith:QRNARD74

pith:2008:QRNARD74BPIKJ4EYGB6DWCS7XM

not attested not anchored not stored refs pending

Stochastic Modeling of Unresolved Scales in Complex Systems

Jinqiao Duan

arxiv:0811.3699 v1 · 2008-11-22 · math.DS · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QRNARD74BPIKJ4EYGB6DWCS7XM}

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	2026-06-03T23:06:09.374164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

845a088ffc0bd0a4f098307c3b0a5fbb08a89ce54826d31b435c815da4da6114

Aliases

arxiv: 0811.3699 · arxiv_version: 0811.3699v1 · doi: 10.48550/arxiv.0811.3699 · pith_short_12: QRNARD74BPIK · pith_short_16: QRNARD74BPIKJ4EY · pith_short_8: QRNARD74

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/QRNARD74BPIKJ4EYGB6DWCS7XM \
  | 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: 845a088ffc0bd0a4f098307c3b0a5fbb08a89ce54826d31b435c815da4da6114

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2c2d4b28258c6358d5a7a33995379e50960b544551024a0a53ba78e1f945a7d",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-11-22T17:06:24Z",
    "title_canon_sha256": "5f9d5a2127402015a84718907bd31045c544b8912faf783d02d67a0fcd9da391"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.3699",
    "kind": "arxiv",
    "version": 1
  }
}