Pith Number

pith:ARQJZP5W

pith:2011:ARQJZP5WHQK3XECC4JBT55YI4Z

not attested not anchored not stored refs pending

Local properties on the remainders of the topological groups

Fucai Lin

arxiv:1109.6517 v2 · 2011-09-29 · math.GN · 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{ARQJZP5WHQK3XECC4JBT55YI4Z}

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	2026-05-18T02:00:21.533606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04609cbfb63c15bb9042e2433ef708e6607ae3fa0decf46e283c8c2780732bb1

Aliases

arxiv: 1109.6517 · arxiv_version: 1109.6517v2 · doi: 10.48550/arxiv.1109.6517 · pith_short_12: ARQJZP5WHQK3 · pith_short_16: ARQJZP5WHQK3XECC · pith_short_8: ARQJZP5W

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/ARQJZP5WHQK3XECC4JBT55YI4Z \
  | 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: 04609cbfb63c15bb9042e2433ef708e6607ae3fa0decf46e283c8c2780732bb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a97edf88c2e050edc4fa3dc412e52b371657bf2d473501649de3c4a5e945745",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-09-29T13:10:24Z",
    "title_canon_sha256": "001a9886d17a1e0569315e880245e41535176a0bbf9b61685f6001bb9946cf8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6517",
    "kind": "arxiv",
    "version": 2
  }
}