Pith Number

pith:YRWGY6QD

pith:2019:YRWGY6QDUZZOOCZAJYBRTXPU33

not attested not anchored not stored refs pending

On $L^p$-convergence of the Biggins martingale with complex parameter

Alexander Iksanov, Quansheng Liu, Xingang Liang

arxiv:1903.00524 v1 · 2019-03-01 · 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{YRWGY6QDUZZOOCZAJYBRTXPU33}

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	2026-05-17T23:52:14.254281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c46c6c7a03a672e70b204e0319ddf4dedfb9fb083907a8d8d5986fe5c29c93db

Aliases

arxiv: 1903.00524 · arxiv_version: 1903.00524v1 · doi: 10.48550/arxiv.1903.00524 · pith_short_12: YRWGY6QDUZZO · pith_short_16: YRWGY6QDUZZOOCZA · pith_short_8: YRWGY6QD

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/YRWGY6QDUZZOOCZAJYBRTXPU33 \
  | 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: c46c6c7a03a672e70b204e0319ddf4dedfb9fb083907a8d8d5986fe5c29c93db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea331140ea866e7c520c43ddb87434b8b4e32b9b3ecde7179007a7895b4ca2d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-03-01T20:24:55Z",
    "title_canon_sha256": "2e5f12907d10503a3a59e7abb75401b598c26e3fa64c75ed8e1b35cc82841fc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.00524",
    "kind": "arxiv",
    "version": 1
  }
}