Pith Number

pith:YXSO2U34

pith:2016:YXSO2U34MMNKJHZAOZG6UTGIWC

not attested not anchored not stored refs pending

Limit theorems for affine Markov walks conditioned to stay positive

\'Emile Le Page, Ion Grama, Ronan Lauvergnat

arxiv:1601.02991 v1 · 2016-01-12 · 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{YXSO2U34MMNKJHZAOZG6UTGIWC}

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	2026-05-18T01:22:59.166996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5e4ed537c631aa49f20764dea4cc8b096c9e9d122b61db2144d38b4fd044ebf

Aliases

arxiv: 1601.02991 · arxiv_version: 1601.02991v1 · doi: 10.48550/arxiv.1601.02991 · pith_short_12: YXSO2U34MMNK · pith_short_16: YXSO2U34MMNKJHZA · pith_short_8: YXSO2U34

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/YXSO2U34MMNKJHZAOZG6UTGIWC \
  | 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: c5e4ed537c631aa49f20764dea4cc8b096c9e9d122b61db2144d38b4fd044ebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f4fe04e6471593b60fddc1c2f2bc9ede91e01835995e79ef9d23e84590df747",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-12T18:33:06Z",
    "title_canon_sha256": "24039254adba15731109dbedf1713dcd2af7c2d1b9649340a278e6e01037e829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02991",
    "kind": "arxiv",
    "version": 1
  }
}