Pith Number

pith:32MGGGYN

pith:2016:32MGGGYNQKBGLMDYRTVEBBBFMQ

not attested not anchored not stored refs pending

Erd\"os-R\'enyi law of large numbers in the averaging setup

Yuri Kifer

arxiv:1608.01858 v1 · 2016-08-05 · 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{32MGGGYNQKBGLMDYRTVEBBBFMQ}

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	2026-05-18T01:09:44.436670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de98631b0d828265b0788cea408425643d697823c5c2478f7fc690c8f66cb432

Aliases

arxiv: 1608.01858 · arxiv_version: 1608.01858v1 · doi: 10.48550/arxiv.1608.01858 · pith_short_12: 32MGGGYNQKBG · pith_short_16: 32MGGGYNQKBGLMDY · pith_short_8: 32MGGGYN

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/32MGGGYNQKBGLMDYRTVEBBBFMQ \
  | 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: de98631b0d828265b0788cea408425643d697823c5c2478f7fc690c8f66cb432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb407856be54f2c11be76766193e473af2c8c384c754b53e27aa2e0b81d5a02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-05T12:28:59Z",
    "title_canon_sha256": "722285c59d2922d955a7e754e6c6d940a545ab646a7d5d84411dcd07c6c6664e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01858",
    "kind": "arxiv",
    "version": 1
  }
}