Pith Number

pith:UNPHYMOO

pith:2026:UNPHYMOO5T4ZSP7ZFMUUSKUCVH

not attested not anchored not stored refs pending

The number of realisations of a random graph

Anthony Nixon, Ben Smith, Sean Dewar

arxiv:2605.18487 v1 · 2026-05-18 · 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{UNPHYMOO5T4ZSP7ZFMUUSKUCVH}

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	2026-05-20T00:06:03.815989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a35e7c31ceecf9993ff92b29492a82a9f4cb9a05a91e791a606a78587fdbbdf5

Aliases

arxiv: 2605.18487 · arxiv_version: 2605.18487v1 · doi: 10.48550/arxiv.2605.18487 · pith_short_12: UNPHYMOO5T4Z · pith_short_16: UNPHYMOO5T4ZSP7Z · pith_short_8: UNPHYMOO

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/UNPHYMOO5T4ZSP7ZFMUUSKUCVH \
  | 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: a35e7c31ceecf9993ff92b29492a82a9f4cb9a05a91e791a606a78587fdbbdf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ef350d45388bfda83ca8b6ec6a81b0550ead1f0bdf8bbce6bd320faf1a545ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-18T14:39:31Z",
    "title_canon_sha256": "f33fea2ab2139f67cc21462cddf6e988889100ee4c99906d9cec835bf42caaa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18487",
    "kind": "arxiv",
    "version": 1
  }
}