Pith Number

pith:CQS5PZ2F

pith:2014:CQS5PZ2FWXDMR4DCV7DYKM55UP

not attested not anchored not stored refs pending

Almost automorphy and various extensions for stochastic processes

Fazia Bedouhene (LMPA), Mannal Smaali (LMPA), Nouredine Challali (LMPA), Omar Mellah (LMPA), Paul Raynaud De Fitte (LMRS)

arxiv:1412.5032 v3 · 2014-12-16 · math.PR · 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{CQS5PZ2FWXDMR4DCV7DYKM55UP}

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	2026-05-18T02:18:23.492657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1425d7e745b5c6c8f062afc78533bda3dfe6f1d2dd7ba491df85e7f1f57f502b

Aliases

arxiv: 1412.5032 · arxiv_version: 1412.5032v3 · doi: 10.48550/arxiv.1412.5032 · pith_short_12: CQS5PZ2FWXDM · pith_short_16: CQS5PZ2FWXDMR4DC · pith_short_8: CQS5PZ2F

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/CQS5PZ2FWXDMR4DCV7DYKM55UP \
  | 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: 1425d7e745b5c6c8f062afc78533bda3dfe6f1d2dd7ba491df85e7f1f57f502b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "499730dae13806bef90f8636f9761de6814ccedf696129c94e79ac0c964de329",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-16T15:10:47Z",
    "title_canon_sha256": "cdb9936a6a066dd3a96a0b83cee0b9d06b7ff744b199888627f36d599cc1f9d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5032",
    "kind": "arxiv",
    "version": 3
  }
}