Pith Number

pith:B42UOOGY

pith:2015:B42UOOGYDXIWCLJAWM2X2HBLT5

not attested not anchored not stored refs pending

Categorically proper homomorphisms of topological groups

Walter Tholen, Wei He

arxiv:1511.02898 v1 · 2015-11-09 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B42UOOGYDXIWCLJAWM2X2HBLT5}

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	2026-05-18T01:27:17.514168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f354738d81dd1612d20b3357d1c2b9f473cde31581fbe246882a450f2186502

Aliases

arxiv: 1511.02898 · arxiv_version: 1511.02898v1 · doi: 10.48550/arxiv.1511.02898 · pith_short_12: B42UOOGYDXIW · pith_short_16: B42UOOGYDXIWCLJA · pith_short_8: B42UOOGY

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/B42UOOGYDXIWCLJAWM2X2HBLT5 \
  | 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: 0f354738d81dd1612d20b3357d1c2b9f473cde31581fbe246882a450f2186502

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "776131594b8b94502f5657aed210d081116c986b18dc4a81e84df8a643c51672",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-11-09T21:40:36Z",
    "title_canon_sha256": "a11be667a343f0f7b6cce065fd0a09f8ec66d4ba646a314edaf73d4b9848d692"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02898",
    "kind": "arxiv",
    "version": 1
  }
}