Pith Number

pith:3A6ZXFAG

pith:2011:3A6ZXFAGIPT5N4YEBAUNY6KCPR

not attested not anchored not stored refs pending

Probability asymptotics: notes on notation

Svante Janson

arxiv:1108.3924 v1 · 2011-08-19 · 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{3A6ZXFAGIPT5N4YEBAUNY6KCPR}

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	2026-05-18T04:15:05.966468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d83d9b940643e7d6f3040828dc79427c40badbc41e524f426f454c77798b0951

Aliases

arxiv: 1108.3924 · arxiv_version: 1108.3924v1 · doi: 10.48550/arxiv.1108.3924 · pith_short_12: 3A6ZXFAGIPT5 · pith_short_16: 3A6ZXFAGIPT5N4YE · pith_short_8: 3A6ZXFAG

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/3A6ZXFAGIPT5N4YEBAUNY6KCPR \
  | 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: d83d9b940643e7d6f3040828dc79427c40badbc41e524f426f454c77798b0951

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec44765c79e4772aee7c7edece617528bdbb4d6bc3aa24e183e3e941b5cb5c57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-19T09:14:52Z",
    "title_canon_sha256": "add3920b6e45ec3eef31f28f04c3180a889a1562fda467a0d839cf9fb94c6544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3924",
    "kind": "arxiv",
    "version": 1
  }
}