Pith Number

pith:WI5VBLJW

pith:2019:WI5VBLJWHJQ7FZL5XVMFAUDPJJ

not attested not anchored not stored refs pending

Automatic continuity, unique Polish topologies, and Zariski topologies on monoids and clones

J. D. Mitchell, J. Jonu\v{s}as, L. Elliott, M. Morayne, Y. P\'eresse, Z. Mesyan

arxiv:1912.07029 v6 · 2019-12-15 · math.RA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WI5VBLJWHJQ7FZL5XVMFAUDPJJ}

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	2026-07-05T08:23:50.356404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b23b50ad363a61f2e57dbd5850506f4a659fafa911c9f4c3313e63b336e58ac0

Aliases

arxiv: 1912.07029 · arxiv_version: 1912.07029v6 · doi: 10.48550/arxiv.1912.07029 · pith_short_12: WI5VBLJWHJQ7 · pith_short_16: WI5VBLJWHJQ7FZL5 · pith_short_8: WI5VBLJW

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/WI5VBLJWHJQ7FZL5XVMFAUDPJJ \
  | 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: b23b50ad363a61f2e57dbd5850506f4a659fafa911c9f4c3313e63b336e58ac0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9a79602afdcf4d7573695e8d3753b867f8dc16fb0e55fb203535d3b338a0e63",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-12-15T12:01:45Z",
    "title_canon_sha256": "62f92597823217c05f5bdab1b844bed1ee7151173258654c79b13d7d3bcb1071"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.07029",
    "kind": "arxiv",
    "version": 6
  }
}