Pith Number

pith:CYSLU2VB

pith:2007:CYSLU2VB2AZKXXY7RDHZBYSWFK

not attested not anchored not stored refs pending

Reduction, reconstruction, and skew-product decomposition of symmetric stochastic differential equations

Joan-Andreu L\'azaro-Cam\'i, Juan-Pablo Ortega

arxiv:0705.3156 v2 · 2007-05-22 · math.PR · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYSLU2VB2AZKXXY7RDHZBYSWFK}

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	2026-05-18T04:09:16.530123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1624ba6aa1d032abdf1f88cf90e2562ab73de25e6695fb8d2014a821589ad8fa

Aliases

arxiv: 0705.3156 · arxiv_version: 0705.3156v2 · doi: 10.48550/arxiv.0705.3156 · pith_short_12: CYSLU2VB2AZK · pith_short_16: CYSLU2VB2AZKXXY7 · pith_short_8: CYSLU2VB

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/CYSLU2VB2AZKXXY7RDHZBYSWFK \
  | 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: 1624ba6aa1d032abdf1f88cf90e2562ab73de25e6695fb8d2014a821589ad8fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b06aaf60acc7e34a146e7b9a7f5b58c5fe230e9af1014a5a80256d023552cb4",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-05-22T13:03:08Z",
    "title_canon_sha256": "73708df53ec16948505d1df15718c8122773c9c331089e7ef66cbafd10240a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.3156",
    "kind": "arxiv",
    "version": 2
  }
}