Pith Number

pith:BCAIQFI6

pith:2012:BCAIQFI6ZI2TZRMAN5ZVJS6F6J

not attested not anchored not stored refs pending

Ensemble Averaging for Dynamical Systems under Fast Oscillating Random Boundary Conditions

Guowei He, Jian Ren, Jinqiao Duan, Wei Wang

arxiv:1207.5901 v1 · 2012-07-25 · math.PR · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCAIQFI6ZI2TZRMAN5ZVJS6F6J}

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	2026-05-18T03:50:09.983071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

088088151eca353cc5806f7354cbc5f262182977a7a4f9578eace440954ecdf8

Aliases

arxiv: 1207.5901 · arxiv_version: 1207.5901v1 · doi: 10.48550/arxiv.1207.5901 · pith_short_12: BCAIQFI6ZI2T · pith_short_16: BCAIQFI6ZI2TZRMA · pith_short_8: BCAIQFI6

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/BCAIQFI6ZI2TZRMAN5ZVJS6F6J \
  | 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: 088088151eca353cc5806f7354cbc5f262182977a7a4f9578eace440954ecdf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47cdad131ec5ecf353c9b0143eb13d3fbb4cb14210271eeaca829d0574cf6adc",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-25T06:49:01Z",
    "title_canon_sha256": "cd1923fb17c7aa9a056c118e7c163143fd621163f04cce6bef6c735dcd1eca10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5901",
    "kind": "arxiv",
    "version": 1
  }
}