Pith Number

pith:AGSKAZKS

pith:2016:AGSKAZKSUAPHWTUMTXAOJYHGAI

not attested not anchored not stored refs pending

Convergence of complex martingales in the branching random walk: the boundary

Konrad Kolesko, Matthias Meiners

arxiv:1611.05220 v1 · 2016-11-16 · 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{AGSKAZKSUAPHWTUMTXAOJYHGAI}

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	2026-05-18T00:58:27.623637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01a4a06552a01e7b4e8c9dc0e4e0e6020e69a5652073f66157559ea2bb991f1c

Aliases

arxiv: 1611.05220 · arxiv_version: 1611.05220v1 · doi: 10.48550/arxiv.1611.05220 · pith_short_12: AGSKAZKSUAPH · pith_short_16: AGSKAZKSUAPHWTUM · pith_short_8: AGSKAZKS

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/AGSKAZKSUAPHWTUMTXAOJYHGAI \
  | 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: 01a4a06552a01e7b4e8c9dc0e4e0e6020e69a5652073f66157559ea2bb991f1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9c39f9ea40aafe90c7f12f8ff63bf4b04ec08cb82519749fe25f3ac394080b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-16T10:58:41Z",
    "title_canon_sha256": "fa8fc0f71d60d8d2f2fd0589562f80964688a4f9dfaa459b35a6ab3234c91dce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05220",
    "kind": "arxiv",
    "version": 1
  }
}