Pith Number

pith:APDMTM3D

pith:2013:APDMTM3DS6SINB2LI4QRFAV356

not attested not anchored not stored refs pending

Stochastic Averaging Principle for Dynamical Systems with Fractional Brownian Motion

Di Liu, Huiqing Zhang, Jinqiao Duan, Rong Guo, Yong Xu

arxiv:1301.4788 v1 · 2013-01-21 · math.DS · 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{APDMTM3DS6SINB2LI4QRFAV356}

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	2026-05-18T03:35:55.615489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03c6c9b36397a486874b47211282bbefad718e32cd9cce78717cb63d2260c8e9

Aliases

arxiv: 1301.4788 · arxiv_version: 1301.4788v1 · doi: 10.48550/arxiv.1301.4788 · pith_short_12: APDMTM3DS6SI · pith_short_16: APDMTM3DS6SINB2L · pith_short_8: APDMTM3D

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/APDMTM3DS6SINB2LI4QRFAV356 \
  | 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: 03c6c9b36397a486874b47211282bbefad718e32cd9cce78717cb63d2260c8e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70feae21ffa0eaf525991344e47d382472dd0af894677f7bb8150481f69dc298",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-01-21T08:24:27Z",
    "title_canon_sha256": "31b72fd2a4994de7cf53893e13e925931aece3a4e62d7ef574f65a094d178901"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4788",
    "kind": "arxiv",
    "version": 1
  }
}