Pith Number

pith:3FWI5EWK

pith:2013:3FWI5EWKPX5Y5QDDYVLMJ3274O

not attested not anchored not stored refs pending

Non-Markovian Reduced Systems for Stochastic Partial Differential Equations: The Additive Noise Case

Honghu Liu, Micka\"el D. Chekroun, Shouhong Wang

arxiv:1311.3069 v1 · 2013-11-13 · math.AP · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FWI5EWKPX5Y5QDDYVLMJ3274O}

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	2026-05-18T03:07:13.223780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d96c8e92ca7dfb8ec063c556c4ef5fe3bf298856fd428f9422ecdaa1535dce36

Aliases

arxiv: 1311.3069 · arxiv_version: 1311.3069v1 · doi: 10.48550/arxiv.1311.3069 · pith_short_12: 3FWI5EWKPX5Y · pith_short_16: 3FWI5EWKPX5Y5QDD · pith_short_8: 3FWI5EWK

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/3FWI5EWKPX5Y5QDDYVLMJ3274O \
  | 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: d96c8e92ca7dfb8ec063c556c4ef5fe3bf298856fd428f9422ecdaa1535dce36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c45c63e6264aa822cfc0226fb49cf2989a7feacff9c4e3e5f92d1048ba3079c",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-13T10:25:59Z",
    "title_canon_sha256": "775b30cfdbc322e7fe83908c97a6f6327e67f1375813367414a4ddd0aa55b7a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3069",
    "kind": "arxiv",
    "version": 1
  }
}