Pith Number

pith:MAG3DYR6

pith:2009:MAG3DYR63XRJCIXOQUIZFPCRE7

not attested not anchored not stored refs pending

Non-markovian limits of additive functionals of Markov processes

Milton Jara, Tomasz Komorowski

arxiv:0905.2163 v2 · 2009-05-13 · 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{MAG3DYR63XRJCIXOQUIZFPCRE7}

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	2026-05-18T04:39:50.449251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

600db1e23edde29122ee851192bc5127c618be3a04ba2b088ce59bca81fd6272

Aliases

arxiv: 0905.2163 · arxiv_version: 0905.2163v2 · doi: 10.48550/arxiv.0905.2163 · pith_short_12: MAG3DYR63XRJ · pith_short_16: MAG3DYR63XRJCIXO · pith_short_8: MAG3DYR6

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/MAG3DYR63XRJCIXOQUIZFPCRE7 \
  | 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: 600db1e23edde29122ee851192bc5127c618be3a04ba2b088ce59bca81fd6272

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce853169d57cf9765752a60ce740642f55bcd7d1dfbcf48ae0b9fe61952b82b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-05-13T18:31:52Z",
    "title_canon_sha256": "29c3845145e914c9de6135f24529aaef0dc6ba4b498fe5351ca37081f4a347d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2163",
    "kind": "arxiv",
    "version": 2
  }
}