Pith Number

pith:7L4WYRGM

pith:2017:7L4WYRGMYPW4EJMLT7JJJY3ES3

not attested not anchored not stored refs pending

Schur Number Five

Marijn J.H. Heule

arxiv:1711.08076 v1 · 2017-11-21 · cs.LO · cs.DC · 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{7L4WYRGMYPW4EJMLT7JJJY3ES3}

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.

Cited by

1 paper in Pith

Combinatorics of Schur ultrafilters

Receipt and verification

First computed	2026-05-18T00:29:50.729925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faf96c44ccc3edc2258b9fd294e36496da9b1b09c0a6fb61791a6d39648f9a44

Aliases

arxiv: 1711.08076 · arxiv_version: 1711.08076v1 · doi: 10.48550/arxiv.1711.08076 · pith_short_12: 7L4WYRGMYPW4 · pith_short_16: 7L4WYRGMYPW4EJML · pith_short_8: 7L4WYRGM

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/7L4WYRGMYPW4EJMLT7JJJY3ES3 \
  | 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: faf96c44ccc3edc2258b9fd294e36496da9b1b09c0a6fb61791a6d39648f9a44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa7ac08c153ec7c32869f9f05f16347e23f6cf116037b5b6b828e5fdebc4da62",
    "cross_cats_sorted": [
      "cs.DC",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2017-11-21T22:54:59Z",
    "title_canon_sha256": "9dcf1102574e3d1dd86df8c9b071b615ae4fd040be5ffa8845ce64dc65e888f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08076",
    "kind": "arxiv",
    "version": 1
  }
}