Pith Number

pith:4UKOW5OY

pith:2016:4UKOW5OY7MLW4NHANJPW53EPX6

not attested not anchored not stored refs pending

Functional Clones and Expressibility of Partition Functions

Andrei Bulatov, David Richerby, Leslie Ann Goldberg, Mark Jerrum, Stanislav \v{Z}ivn\'y

arxiv:1609.07377 v2 · 2016-09-23 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4UKOW5OY7MLW4NHANJPW53EPX6}

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	2026-05-18T00:18:41.666496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e514eb75d8fb176e34e06a5f6eec8fbf9bddd8d6b6abf5afd123ab222fbaafa7

Aliases

arxiv: 1609.07377 · arxiv_version: 1609.07377v2 · doi: 10.48550/arxiv.1609.07377 · pith_short_12: 4UKOW5OY7MLW · pith_short_16: 4UKOW5OY7MLW4NHA · pith_short_8: 4UKOW5OY

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/4UKOW5OY7MLW4NHANJPW53EPX6 \
  | 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: e514eb75d8fb176e34e06a5f6eec8fbf9bddd8d6b6abf5afd123ab222fbaafa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8e687eaa90fab377ddaa6e0983c8780597f52ebd9b6c3db42215923b205129b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-09-23T14:23:20Z",
    "title_canon_sha256": "9e8a65898b323f394781b41ecbc4666a86e6dacb5111509b2f62e7fc5a37fca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07377",
    "kind": "arxiv",
    "version": 2
  }
}