Pith Number

pith:2DFIW3WB

pith:2019:2DFIW3WBNHEHTP4VV4WYCSDBM3

not attested not anchored not stored refs pending

A lower bound for the partition function from Chebyshev's inequality applied to a coin flipping model for the random partition

Mark Wildon

arxiv:1905.10590 v1 · 2019-05-25 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DFIW3WBNHEHTP4VV4WYCSDBM3}

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	2026-05-17T23:45:08.007078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0ca8b6ec169c879bf95af2d81486166eb3acfc8de91e3ddcd324cb45bf29ab1

Aliases

arxiv: 1905.10590 · arxiv_version: 1905.10590v1 · doi: 10.48550/arxiv.1905.10590 · pith_short_12: 2DFIW3WBNHEH · pith_short_16: 2DFIW3WBNHEHTP4V · pith_short_8: 2DFIW3WB

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/2DFIW3WBNHEHTP4VV4WYCSDBM3 \
  | 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: d0ca8b6ec169c879bf95af2d81486166eb3acfc8de91e3ddcd324cb45bf29ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76f3da4fa642b434af427e469545d41c4941db5e2a517ddd9cae1d07dbe3d9e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-25T12:53:35Z",
    "title_canon_sha256": "126a39b189c2bd7881426d9ec1cd90917fecf6aa3b0a68c8034f9815fb829b52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10590",
    "kind": "arxiv",
    "version": 1
  }
}