Pith Number

pith:FSZTQL4M

pith:2018:FSZTQL4MDRKEX6QT7JZLJD2PH7

not attested not anchored not stored refs pending

Partition properties for simply definable colourings

Philipp L\"ucke

arxiv:1807.00562 v1 · 2018-07-02 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSZTQL4MDRKEX6QT7JZLJD2PH7}

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	2026-05-18T00:11:52.191169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cb3382f8c1c544bfa13fa72b48f4f3fff3a1c756e1efe19f96c78f4a4140464

Aliases

arxiv: 1807.00562 · arxiv_version: 1807.00562v1 · doi: 10.48550/arxiv.1807.00562 · pith_short_12: FSZTQL4MDRKE · pith_short_16: FSZTQL4MDRKEX6QT · pith_short_8: FSZTQL4M

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/FSZTQL4MDRKEX6QT7JZLJD2PH7 \
  | 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: 2cb3382f8c1c544bfa13fa72b48f4f3fff3a1c756e1efe19f96c78f4a4140464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "905dce80c0c964fd1d25cf733849896785e3f83f0be5c2d459b2f7f60aa04590",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-07-02T09:36:33Z",
    "title_canon_sha256": "dc9436892c41dc1fb8a460562666520127db4d770034332dbaeee90ff05b086c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00562",
    "kind": "arxiv",
    "version": 1
  }
}