Pith Number

pith:5FMUB4Q7

pith:2018:5FMUB4Q7NKJG2DOO5XTTVRIUZJ

not attested not anchored not stored refs pending

The regularity lemma is false over small fields

Harm Derksen, Visu Makam

arxiv:1812.02223 v1 · 2018-12-05 · math.RA · 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{5FMUB4Q7NKJG2DOO5XTTVRIUZJ}

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	2026-05-17T23:58:52.245682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e95940f21f6a926d0dceede73ac514ca4a4bf7c09910822a70e813db72099a0d

Aliases

arxiv: 1812.02223 · arxiv_version: 1812.02223v1 · doi: 10.48550/arxiv.1812.02223 · pith_short_12: 5FMUB4Q7NKJG · pith_short_16: 5FMUB4Q7NKJG2DOO · pith_short_8: 5FMUB4Q7

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/5FMUB4Q7NKJG2DOO5XTTVRIUZJ \
  | 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: e95940f21f6a926d0dceede73ac514ca4a4bf7c09910822a70e813db72099a0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b931818fcc42ec6ce270976a65e9b1da6d9099bb4f93fb7ec00e36b592c57db9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-12-05T20:58:59Z",
    "title_canon_sha256": "efb358aad797c87262e7681bb457f89bba1495b93b51e84b10dcd90681480a75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02223",
    "kind": "arxiv",
    "version": 1
  }
}