Pith Number

pith:MB43PNY4

pith:2012:MB43PNY47LWABQW6UIIDYBDH77

not attested not anchored not stored refs pending

Asymptotic Expansion for Distribution of Markovian Random Motion

A. Pogorui

arxiv:1203.4528 v1 · 2012-03-20 · 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{MB43PNY47LWABQW6UIIDYBDH77}

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	2026-05-18T03:59:38.888070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6079b7b71cfaec00c2dea2103c0467fff6dbd866915dbbf376be547248659a53

Aliases

arxiv: 1203.4528 · arxiv_version: 1203.4528v1 · doi: 10.48550/arxiv.1203.4528 · pith_short_12: MB43PNY47LWA · pith_short_16: MB43PNY47LWABQW6 · pith_short_8: MB43PNY4

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/MB43PNY47LWABQW6UIIDYBDH77 \
  | 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: 6079b7b71cfaec00c2dea2103c0467fff6dbd866915dbbf376be547248659a53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ae8422200ad197ad461945b9a23f28ce8ccb4683d72106064522edae3993daf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-20T18:01:13Z",
    "title_canon_sha256": "4d5bf19ee0d86edbb13c911371d2d32137185624442a0ab1d6df067679155a71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4528",
    "kind": "arxiv",
    "version": 1
  }
}