Pith Number

pith:YMRSLIOQ

pith:2011:YMRSLIOQDRAFGPOYKVDGRQ4EQW

not attested not anchored not stored refs pending

Linear topologies on $\Z$ are not Mackey topologies

Daniel de la Barrera Mayoral, Lydia Aussenhofer

arxiv:1107.2661 v2 · 2011-07-13 · 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{YMRSLIOQDRAFGPOYKVDGRQ4EQW}

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	2026-05-18T04:14:17.754265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c32325a1d01c40533dd8554668c3848593c96fcd8c11d972818709023d19e5f1

Aliases

arxiv: 1107.2661 · arxiv_version: 1107.2661v2 · doi: 10.48550/arxiv.1107.2661 · pith_short_12: YMRSLIOQDRAF · pith_short_16: YMRSLIOQDRAFGPOY · pith_short_8: YMRSLIOQ

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/YMRSLIOQDRAFGPOYKVDGRQ4EQW \
  | 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: c32325a1d01c40533dd8554668c3848593c96fcd8c11d972818709023d19e5f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c79454c439449a0facd60d96e130a5c7fb7e5e09477bf8d8a58243ad186ca47a",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-07-13T20:05:38Z",
    "title_canon_sha256": "056eee0d1cd03b3e614120923cea5fcaec62842b886505c794292d96bc868b1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2661",
    "kind": "arxiv",
    "version": 2
  }
}